7(w+2)-2=6w+15

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Solution for 7(w+2)-2=6w+15 equation:


Simplifying
7(w + 2) + -2 = 6w + 15

Reorder the terms:
7(2 + w) + -2 = 6w + 15
(2 * 7 + w * 7) + -2 = 6w + 15
(14 + 7w) + -2 = 6w + 15

Reorder the terms:
14 + -2 + 7w = 6w + 15

Combine like terms: 14 + -2 = 12
12 + 7w = 6w + 15

Reorder the terms:
12 + 7w = 15 + 6w

Solving
12 + 7w = 15 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
12 + 7w + -6w = 15 + 6w + -6w

Combine like terms: 7w + -6w = 1w
12 + 1w = 15 + 6w + -6w

Combine like terms: 6w + -6w = 0
12 + 1w = 15 + 0
12 + 1w = 15

Add '-12' to each side of the equation.
12 + -12 + 1w = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 1w = 15 + -12
1w = 15 + -12

Combine like terms: 15 + -12 = 3
1w = 3

Divide each side by '1'.
w = 3

Simplifying
w = 3

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