7(w+4)=-6w+2

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Solution for 7(w+4)=-6w+2 equation:


Simplifying
7(w + 4) = -6w + 2

Reorder the terms:
7(4 + w) = -6w + 2
(4 * 7 + w * 7) = -6w + 2
(28 + 7w) = -6w + 2

Reorder the terms:
28 + 7w = 2 + -6w

Solving
28 + 7w = 2 + -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.
28 + 7w + 6w = 2 + -6w + 6w

Combine like terms: 7w + 6w = 13w
28 + 13w = 2 + -6w + 6w

Combine like terms: -6w + 6w = 0
28 + 13w = 2 + 0
28 + 13w = 2

Add '-28' to each side of the equation.
28 + -28 + 13w = 2 + -28

Combine like terms: 28 + -28 = 0
0 + 13w = 2 + -28
13w = 2 + -28

Combine like terms: 2 + -28 = -26
13w = -26

Divide each side by '13'.
w = -2

Simplifying
w = -2

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