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Simplifying -5(-5w + 6) + -8w = 7(w + -2) + -4 Reorder the terms: -5(6 + -5w) + -8w = 7(w + -2) + -4 (6 * -5 + -5w * -5) + -8w = 7(w + -2) + -4 (-30 + 25w) + -8w = 7(w + -2) + -4 Combine like terms: 25w + -8w = 17w -30 + 17w = 7(w + -2) + -4 Reorder the terms: -30 + 17w = 7(-2 + w) + -4 -30 + 17w = (-2 * 7 + w * 7) + -4 -30 + 17w = (-14 + 7w) + -4 Reorder the terms: -30 + 17w = -14 + -4 + 7w Combine like terms: -14 + -4 = -18 -30 + 17w = -18 + 7w Solving -30 + 17w = -18 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -30 + 17w + -7w = -18 + 7w + -7w Combine like terms: 17w + -7w = 10w -30 + 10w = -18 + 7w + -7w Combine like terms: 7w + -7w = 0 -30 + 10w = -18 + 0 -30 + 10w = -18 Add '30' to each side of the equation. -30 + 30 + 10w = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 10w = -18 + 30 10w = -18 + 30 Combine like terms: -18 + 30 = 12 10w = 12 Divide each side by '10'. w = 1.2 Simplifying w = 1.2
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