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Simplifying -3(-7w + 3) + -6w = 5(w + -1) + -8 Reorder the terms: -3(3 + -7w) + -6w = 5(w + -1) + -8 (3 * -3 + -7w * -3) + -6w = 5(w + -1) + -8 (-9 + 21w) + -6w = 5(w + -1) + -8 Combine like terms: 21w + -6w = 15w -9 + 15w = 5(w + -1) + -8 Reorder the terms: -9 + 15w = 5(-1 + w) + -8 -9 + 15w = (-1 * 5 + w * 5) + -8 -9 + 15w = (-5 + 5w) + -8 Reorder the terms: -9 + 15w = -5 + -8 + 5w Combine like terms: -5 + -8 = -13 -9 + 15w = -13 + 5w Solving -9 + 15w = -13 + 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. -9 + 15w + -5w = -13 + 5w + -5w Combine like terms: 15w + -5w = 10w -9 + 10w = -13 + 5w + -5w Combine like terms: 5w + -5w = 0 -9 + 10w = -13 + 0 -9 + 10w = -13 Add '9' to each side of the equation. -9 + 9 + 10w = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 10w = -13 + 9 10w = -13 + 9 Combine like terms: -13 + 9 = -4 10w = -4 Divide each side by '10'. w = -0.4 Simplifying w = -0.4
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