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Simplifying 3(w + -6) + -7 = -5(2w + -3) + -3w Reorder the terms: 3(-6 + w) + -7 = -5(2w + -3) + -3w (-6 * 3 + w * 3) + -7 = -5(2w + -3) + -3w (-18 + 3w) + -7 = -5(2w + -3) + -3w Reorder the terms: -18 + -7 + 3w = -5(2w + -3) + -3w Combine like terms: -18 + -7 = -25 -25 + 3w = -5(2w + -3) + -3w Reorder the terms: -25 + 3w = -5(-3 + 2w) + -3w -25 + 3w = (-3 * -5 + 2w * -5) + -3w -25 + 3w = (15 + -10w) + -3w Combine like terms: -10w + -3w = -13w -25 + 3w = 15 + -13w Solving -25 + 3w = 15 + -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. -25 + 3w + 13w = 15 + -13w + 13w Combine like terms: 3w + 13w = 16w -25 + 16w = 15 + -13w + 13w Combine like terms: -13w + 13w = 0 -25 + 16w = 15 + 0 -25 + 16w = 15 Add '25' to each side of the equation. -25 + 25 + 16w = 15 + 25 Combine like terms: -25 + 25 = 0 0 + 16w = 15 + 25 16w = 15 + 25 Combine like terms: 15 + 25 = 40 16w = 40 Divide each side by '16'. w = 2.5 Simplifying w = 2.5
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