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Simplifying -7(-3w + 6) + -8w = 5(w + -3) + -9 Reorder the terms: -7(6 + -3w) + -8w = 5(w + -3) + -9 (6 * -7 + -3w * -7) + -8w = 5(w + -3) + -9 (-42 + 21w) + -8w = 5(w + -3) + -9 Combine like terms: 21w + -8w = 13w -42 + 13w = 5(w + -3) + -9 Reorder the terms: -42 + 13w = 5(-3 + w) + -9 -42 + 13w = (-3 * 5 + w * 5) + -9 -42 + 13w = (-15 + 5w) + -9 Reorder the terms: -42 + 13w = -15 + -9 + 5w Combine like terms: -15 + -9 = -24 -42 + 13w = -24 + 5w Solving -42 + 13w = -24 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -42 + 13w + -5w = -24 + 5w + -5w Combine like terms: 13w + -5w = 8w -42 + 8w = -24 + 5w + -5w Combine like terms: 5w + -5w = 0 -42 + 8w = -24 + 0 -42 + 8w = -24 Add '42' to each side of the equation. -42 + 42 + 8w = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 8w = -24 + 42 8w = -24 + 42 Combine like terms: -24 + 42 = 18 8w = 18 Divide each side by '8'. w = 2.25 Simplifying w = 2.25
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