7(w+2)=3w-18

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Solution for 7(w+2)=3w-18 equation:


Simplifying
7(w + 2) = 3w + -18

Reorder the terms:
7(2 + w) = 3w + -18
(2 * 7 + w * 7) = 3w + -18
(14 + 7w) = 3w + -18

Reorder the terms:
14 + 7w = -18 + 3w

Solving
14 + 7w = -18 + 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 + 7w + -3w = -18 + 3w + -3w

Combine like terms: 7w + -3w = 4w
14 + 4w = -18 + 3w + -3w

Combine like terms: 3w + -3w = 0
14 + 4w = -18 + 0
14 + 4w = -18

Add '-14' to each side of the equation.
14 + -14 + 4w = -18 + -14

Combine like terms: 14 + -14 = 0
0 + 4w = -18 + -14
4w = -18 + -14

Combine like terms: -18 + -14 = -32
4w = -32

Divide each side by '4'.
w = -8

Simplifying
w = -8

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