4(w+2)-7w=14

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Solution for 4(w+2)-7w=14 equation:


Simplifying
4(w + 2) + -7w = 14

Reorder the terms:
4(2 + w) + -7w = 14
(2 * 4 + w * 4) + -7w = 14
(8 + 4w) + -7w = 14

Combine like terms: 4w + -7w = -3w
8 + -3w = 14

Solving
8 + -3w = 14

Solving for variable 'w'.

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

Add '-8' to each side of the equation.
8 + -8 + -3w = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -3w = 14 + -8
-3w = 14 + -8

Combine like terms: 14 + -8 = 6
-3w = 6

Divide each side by '-3'.
w = -2

Simplifying
w = -2

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