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Simplifying -8(3 + -2w) = 13(2w + -12) (3 * -8 + -2w * -8) = 13(2w + -12) (-24 + 16w) = 13(2w + -12) Reorder the terms: -24 + 16w = 13(-12 + 2w) -24 + 16w = (-12 * 13 + 2w * 13) -24 + 16w = (-156 + 26w) Solving -24 + 16w = -156 + 26w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-26w' to each side of the equation. -24 + 16w + -26w = -156 + 26w + -26w Combine like terms: 16w + -26w = -10w -24 + -10w = -156 + 26w + -26w Combine like terms: 26w + -26w = 0 -24 + -10w = -156 + 0 -24 + -10w = -156 Add '24' to each side of the equation. -24 + 24 + -10w = -156 + 24 Combine like terms: -24 + 24 = 0 0 + -10w = -156 + 24 -10w = -156 + 24 Combine like terms: -156 + 24 = -132 -10w = -132 Divide each side by '-10'. w = 13.2 Simplifying w = 13.2
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