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Simplifying -6(-5w + 5) + -8w = 7(w + -1) + -5 Reorder the terms: -6(5 + -5w) + -8w = 7(w + -1) + -5 (5 * -6 + -5w * -6) + -8w = 7(w + -1) + -5 (-30 + 30w) + -8w = 7(w + -1) + -5 Combine like terms: 30w + -8w = 22w -30 + 22w = 7(w + -1) + -5 Reorder the terms: -30 + 22w = 7(-1 + w) + -5 -30 + 22w = (-1 * 7 + w * 7) + -5 -30 + 22w = (-7 + 7w) + -5 Reorder the terms: -30 + 22w = -7 + -5 + 7w Combine like terms: -7 + -5 = -12 -30 + 22w = -12 + 7w Solving -30 + 22w = -12 + 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 + 22w + -7w = -12 + 7w + -7w Combine like terms: 22w + -7w = 15w -30 + 15w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 -30 + 15w = -12 + 0 -30 + 15w = -12 Add '30' to each side of the equation. -30 + 30 + 15w = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 15w = -12 + 30 15w = -12 + 30 Combine like terms: -12 + 30 = 18 15w = 18 Divide each side by '15'. w = 1.2 Simplifying w = 1.2
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