-14=7(w-5)-4w

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Solution for -14=7(w-5)-4w equation:


Simplifying
-14 = 7(w + -5) + -4w

Reorder the terms:
-14 = 7(-5 + w) + -4w
-14 = (-5 * 7 + w * 7) + -4w
-14 = (-35 + 7w) + -4w

Combine like terms: 7w + -4w = 3w
-14 = -35 + 3w

Solving
-14 = -35 + 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 = -35 + 3w + -3w

Combine like terms: 3w + -3w = 0
-14 + -3w = -35 + 0
-14 + -3w = -35

Add '14' to each side of the equation.
-14 + 14 + -3w = -35 + 14

Combine like terms: -14 + 14 = 0
0 + -3w = -35 + 14
-3w = -35 + 14

Combine like terms: -35 + 14 = -21
-3w = -21

Divide each side by '-3'.
w = 7

Simplifying
w = 7

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