7(w+2)=2w-14

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


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

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

Reorder the terms:
14 + 7w = -14 + 2w

Solving
14 + 7w = -14 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
14 + 7w + -2w = -14 + 2w + -2w

Combine like terms: 7w + -2w = 5w
14 + 5w = -14 + 2w + -2w

Combine like terms: 2w + -2w = 0
14 + 5w = -14 + 0
14 + 5w = -14

Add '-14' to each side of the equation.
14 + -14 + 5w = -14 + -14

Combine like terms: 14 + -14 = 0
0 + 5w = -14 + -14
5w = -14 + -14

Combine like terms: -14 + -14 = -28
5w = -28

Divide each side by '5'.
w = -5.6

Simplifying
w = -5.6

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