38=7w+2(w-8)

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Solution for 38=7w+2(w-8) equation: 


Simplifying
38 = 7w + 2(w + -8)

Reorder the terms:
38 = 7w + 2(-8 + w)
38 = 7w + (-8 * 2 + w * 2)
38 = 7w + (-16 + 2w)

Reorder the terms:
38 = -16 + 7w + 2w

Combine like terms: 7w + 2w = 9w
38 = -16 + 9w

Solving
38 = -16 + 9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-9w' to each side of the equation.
38 + -9w = -16 + 9w + -9w

Combine like terms: 9w + -9w = 0
38 + -9w = -16 + 0
38 + -9w = -16

Add '-38' to each side of the equation.
38 + -38 + -9w = -16 + -38

Combine like terms: 38 + -38 = 0
0 + -9w = -16 + -38
-9w = -16 + -38

Combine like terms: -16 + -38 = -54
-9w = -54

Divide each side by '-9'.
w = 6

Simplifying
w = 6

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