14=4(w-4)-7w

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Solution for 14=4(w-4)-7w equation:


Simplifying
14 = 4(w + -4) + -7w

Reorder the terms:
14 = 4(-4 + w) + -7w
14 = (-4 * 4 + w * 4) + -7w
14 = (-16 + 4w) + -7w

Combine like terms: 4w + -7w = -3w
14 = -16 + -3w

Solving
14 = -16 + -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.
14 + 3w = -16 + -3w + 3w

Combine like terms: -3w + 3w = 0
14 + 3w = -16 + 0
14 + 3w = -16

Add '-14' to each side of the equation.
14 + -14 + 3w = -16 + -14

Combine like terms: 14 + -14 = 0
0 + 3w = -16 + -14
3w = -16 + -14

Combine like terms: -16 + -14 = -30
3w = -30

Divide each side by '3'.
w = -10

Simplifying
w = -10

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