w-7+3(2w+5)=-2(w+2)

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Solution for w-7+3(2w+5)=-2(w+2) equation:


Simplifying
w + -7 + 3(2w + 5) = -2(w + 2)

Reorder the terms:
w + -7 + 3(5 + 2w) = -2(w + 2)
w + -7 + (5 * 3 + 2w * 3) = -2(w + 2)
w + -7 + (15 + 6w) = -2(w + 2)

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

Combine like terms: -7 + 15 = 8
8 + w + 6w = -2(w + 2)

Combine like terms: w + 6w = 7w
8 + 7w = -2(w + 2)

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

Solving
8 + 7w = -4 + -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.
8 + 7w + 2w = -4 + -2w + 2w

Combine like terms: 7w + 2w = 9w
8 + 9w = -4 + -2w + 2w

Combine like terms: -2w + 2w = 0
8 + 9w = -4 + 0
8 + 9w = -4

Add '-8' to each side of the equation.
8 + -8 + 9w = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 9w = -4 + -8
9w = -4 + -8

Combine like terms: -4 + -8 = -12
9w = -12

Divide each side by '9'.
w = -1.333333333

Simplifying
w = -1.333333333

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