8(2w+3)=-5(-3w+2)

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Solution for 8(2w+3)=-5(-3w+2) equation:


Simplifying
8(2w + 3) = -5(-3w + 2)

Reorder the terms:
8(3 + 2w) = -5(-3w + 2)
(3 * 8 + 2w * 8) = -5(-3w + 2)
(24 + 16w) = -5(-3w + 2)

Reorder the terms:
24 + 16w = -5(2 + -3w)
24 + 16w = (2 * -5 + -3w * -5)
24 + 16w = (-10 + 15w)

Solving
24 + 16w = -10 + 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
24 + 16w + -15w = -10 + 15w + -15w

Combine like terms: 16w + -15w = 1w
24 + 1w = -10 + 15w + -15w

Combine like terms: 15w + -15w = 0
24 + 1w = -10 + 0
24 + 1w = -10

Add '-24' to each side of the equation.
24 + -24 + 1w = -10 + -24

Combine like terms: 24 + -24 = 0
0 + 1w = -10 + -24
1w = -10 + -24

Combine like terms: -10 + -24 = -34
1w = -34

Divide each side by '1'.
w = -34

Simplifying
w = -34

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