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-29=9-6k-2k - 1please do the work, i’ll mark as brainliest

Sagot :

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Answer:

k = 37/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-29 = 9 - 6k - 2k - 1

Step 2: Solve for k

  1. Combine like terms:                                                                                       -29 = 8 - 8k
  2. [Subtraction Property of Equality] Subtract 8 on both sides:                      -37 = -8k
  3. [Division Property of Equality] Divide -8 on both sides:                              37/8 = k
  4. Rewrite/Rearrange:                                                                                        k = 37/8

Step 3: Check

Plug in k into the original equation to verify it's a solution.

  1. Substitute in k:                                                                                                -29 = 9 - 6(37/8) - 2(37/8) - 1
  2. Multiply:                                                                                                           -29 = 9 - 111/4 - 37/4 - 1
  3. Subtract:                                                                                                          -29 = -75/4 - 37/4 - 1
  4. Subtract:                                                                                                          -29 = -28 - 1
  5. Subtract:                                                                                                          -29 = -29

Here we see that -29 does indeed equal -29.

∴ k = 37/8 is the solution to the equation.

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