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Simplifying 4(w + -2) + -9 = -3(5w + 1) + -7w Reorder the terms: 4(-2 + w) + -9 = -3(5w + 1) + -7w (-2 * 4 + w * 4) + -9 = -3(5w + 1) + -7w (-8 + 4w) + -9 = -3(5w + 1) + -7w Reorder the terms: -8 + -9 + 4w = -3(5w + 1) + -7w Combine like terms: -8 + -9 = -17 -17 + 4w = -3(5w + 1) + -7w Reorder the terms: -17 + 4w = -3(1 + 5w) + -7w -17 + 4w = (1 * -3 + 5w * -3) + -7w -17 + 4w = (-3 + -15w) + -7w Combine like terms: -15w + -7w = -22w -17 + 4w = -3 + -22w Solving -17 + 4w = -3 + -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. -17 + 4w + 22w = -3 + -22w + 22w Combine like terms: 4w + 22w = 26w -17 + 26w = -3 + -22w + 22w Combine like terms: -22w + 22w = 0 -17 + 26w = -3 + 0 -17 + 26w = -3 Add '17' to each side of the equation. -17 + 17 + 26w = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 26w = -3 + 17 26w = -3 + 17 Combine like terms: -3 + 17 = 14 26w = 14 Divide each side by '26'. w = 0.5384615385 Simplifying w = 0.5384615385
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