4(w-7)=-7w+38

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Solution for 4(w-7)=-7w+38 equation:


Simplifying
4(w + -7) = -7w + 38

Reorder the terms:
4(-7 + w) = -7w + 38
(-7 * 4 + w * 4) = -7w + 38
(-28 + 4w) = -7w + 38

Reorder the terms:
-28 + 4w = 38 + -7w

Solving
-28 + 4w = 38 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
-28 + 4w + 7w = 38 + -7w + 7w

Combine like terms: 4w + 7w = 11w
-28 + 11w = 38 + -7w + 7w

Combine like terms: -7w + 7w = 0
-28 + 11w = 38 + 0
-28 + 11w = 38

Add '28' to each side of the equation.
-28 + 28 + 11w = 38 + 28

Combine like terms: -28 + 28 = 0
0 + 11w = 38 + 28
11w = 38 + 28

Combine like terms: 38 + 28 = 66
11w = 66

Divide each side by '11'.
w = 6

Simplifying
w = 6

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