4(11-w)+7=-7(w-4)-11

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Solution for 4(11-w)+7=-7(w-4)-11 equation: 


Simplifying
4(11 + -1w) + 7 = -7(w + -4) + -11
(11 * 4 + -1w * 4) + 7 = -7(w + -4) + -11
(44 + -4w) + 7 = -7(w + -4) + -11

Reorder the terms:
44 + 7 + -4w = -7(w + -4) + -11

Combine like terms: 44 + 7 = 51
51 + -4w = -7(w + -4) + -11

Reorder the terms:
51 + -4w = -7(-4 + w) + -11
51 + -4w = (-4 * -7 + w * -7) + -11
51 + -4w = (28 + -7w) + -11

Reorder the terms:
51 + -4w = 28 + -11 + -7w

Combine like terms: 28 + -11 = 17
51 + -4w = 17 + -7w

Solving
51 + -4w = 17 + -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.
51 + -4w + 7w = 17 + -7w + 7w

Combine like terms: -4w + 7w = 3w
51 + 3w = 17 + -7w + 7w

Combine like terms: -7w + 7w = 0
51 + 3w = 17 + 0
51 + 3w = 17

Add '-51' to each side of the equation.
51 + -51 + 3w = 17 + -51

Combine like terms: 51 + -51 = 0
0 + 3w = 17 + -51
3w = 17 + -51

Combine like terms: 17 + -51 = -34
3w = -34

Divide each side by '3'.
w = -11.33333333

Simplifying
w = -11.33333333

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