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Simplifying 7(w + -6) + -6 = -5(-5w + 6) + -3w Reorder the terms: 7(-6 + w) + -6 = -5(-5w + 6) + -3w (-6 * 7 + w * 7) + -6 = -5(-5w + 6) + -3w (-42 + 7w) + -6 = -5(-5w + 6) + -3w Reorder the terms: -42 + -6 + 7w = -5(-5w + 6) + -3w Combine like terms: -42 + -6 = -48 -48 + 7w = -5(-5w + 6) + -3w Reorder the terms: -48 + 7w = -5(6 + -5w) + -3w -48 + 7w = (6 * -5 + -5w * -5) + -3w -48 + 7w = (-30 + 25w) + -3w Combine like terms: 25w + -3w = 22w -48 + 7w = -30 + 22w Solving -48 + 7w = -30 + 22w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22w' to each side of the equation. -48 + 7w + -22w = -30 + 22w + -22w Combine like terms: 7w + -22w = -15w -48 + -15w = -30 + 22w + -22w Combine like terms: 22w + -22w = 0 -48 + -15w = -30 + 0 -48 + -15w = -30 Add '48' to each side of the equation. -48 + 48 + -15w = -30 + 48 Combine like terms: -48 + 48 = 0 0 + -15w = -30 + 48 -15w = -30 + 48 Combine like terms: -30 + 48 = 18 -15w = 18 Divide each side by '-15'. w = -1.2 Simplifying w = -1.2
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