4w+7=7w-14

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Solution for 4w+7=7w-14 equation:


Simplifying
4w + 7 = 7w + -14

Reorder the terms:
7 + 4w = 7w + -14

Reorder the terms:
7 + 4w = -14 + 7w

Solving
7 + 4w = -14 + 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.
7 + 4w + -7w = -14 + 7w + -7w

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

Combine like terms: 7w + -7w = 0
7 + -3w = -14 + 0
7 + -3w = -14

Add '-7' to each side of the equation.
7 + -7 + -3w = -14 + -7

Combine like terms: 7 + -7 = 0
0 + -3w = -14 + -7
-3w = -14 + -7

Combine like terms: -14 + -7 = -21
-3w = -21

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

Simplifying
w = 7

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