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Sagot :
Answer:
k = 37/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- 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
- Combine like terms: -29 = 8 - 8k
- [Subtraction Property of Equality] Subtract 8 on both sides: -37 = -8k
- [Division Property of Equality] Divide -8 on both sides: 37/8 = k
- Rewrite/Rearrange: k = 37/8
Step 3: Check
Plug in k into the original equation to verify it's a solution.
- Substitute in k: -29 = 9 - 6(37/8) - 2(37/8) - 1
- Multiply: -29 = 9 - 111/4 - 37/4 - 1
- Subtract: -29 = -75/4 - 37/4 - 1
- Subtract: -29 = -28 - 1
- 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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