7=4(w+7)-7w

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


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

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

Combine like terms: 4w + -7w = -3w
7 = 28 + -3w

Solving
7 = 28 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
7 + 3w = 28 + -3w + 3w

Combine like terms: -3w + 3w = 0
7 + 3w = 28 + 0
7 + 3w = 28

Add '-7' to each side of the equation.
7 + -7 + 3w = 28 + -7

Combine like terms: 7 + -7 = 0
0 + 3w = 28 + -7
3w = 28 + -7

Combine like terms: 28 + -7 = 21
3w = 21

Divide each side by '3'.
w = 7

Simplifying
w = 7

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