eleanorpottorf
Answered

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-3w+15w+7=8w+43 what does w equal?

Sagot :

Answer:

w = 9

Step-by-step explanation:

- 3w + 15w + 7 = 8w + 43 , simplifying

12w + 7 = 8w + 43 ( subtract 8w from both sides )

4w + 7 = 43 ( subtract 7 from both sides )

4w = 36 ( divide both sides by 4 )

w = 9

mariamothman212

W=9

first, you simplify the expression.

12w + 7 = 8w + 43.

After that, we group all the w terms on the left side of the equation.

Subtract 8w from both sides:

12w + 7 - 8w = 8w + 43 - 8w

Group like terms:

12w - 8w + 7 = 8w + 43 - 8w

Simplify the arithmetic:

4w + 7 = 8w + 43 - 8w

Group like terms:

4w + 7 = 8w - 8w + 43

Simplify the arithmetic:

4w + 7 =43

Then, we group all constants on the right side of the equation

Subtract 7 from both sides:

4w + 7 - 7 = 43 - 7

Simplify the arithmetic:

4w = 43 - 7

4w = 36

Now, we isolate the w. Divide both sides by4:

4w / 4 = 36 / 4

Simplify the fraction:

w = 36/4

Find the greatest common factor of the numerator and denominator:

w = 9 × 4/1 × 4

Factor out and cancel the greatest common factor:

w = 9

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