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Simplifying 30w + -1(-1w + 6) + (-5w + 4) = -5(5w + 6) + (-8 + 3w) Reorder the terms: 30w + -1(6 + -1w) + (-5w + 4) = -5(5w + 6) + (-8 + 3w) 30w + (6 * -1 + -1w * -1) + (-5w + 4) = -5(5w + 6) + (-8 + 3w) 30w + (-6 + 1w) + (-5w + 4) = -5(5w + 6) + (-8 + 3w) Reorder the terms: 30w + -6 + 1w + (4 + -5w) = -5(5w + 6) + (-8 + 3w) Remove parenthesis around (4 + -5w) 30w + -6 + 1w + 4 + -5w = -5(5w + 6) + (-8 + 3w) Reorder the terms: -6 + 4 + 30w + 1w + -5w = -5(5w + 6) + (-8 + 3w) Combine like terms: -6 + 4 = -2 -2 + 30w + 1w + -5w = -5(5w + 6) + (-8 + 3w) Combine like terms: 30w + 1w = 31w -2 + 31w + -5w = -5(5w + 6) + (-8 + 3w) Combine like terms: 31w + -5w = 26w -2 + 26w = -5(5w + 6) + (-8 + 3w) Reorder the terms: -2 + 26w = -5(6 + 5w) + (-8 + 3w) -2 + 26w = (6 * -5 + 5w * -5) + (-8 + 3w) -2 + 26w = (-30 + -25w) + (-8 + 3w) Remove parenthesis around (-8 + 3w) -2 + 26w = -30 + -25w + -8 + 3w Reorder the terms: -2 + 26w = -30 + -8 + -25w + 3w Combine like terms: -30 + -8 = -38 -2 + 26w = -38 + -25w + 3w Combine like terms: -25w + 3w = -22w -2 + 26w = -38 + -22w Solving -2 + 26w = -38 + -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. -2 + 26w + 22w = -38 + -22w + 22w Combine like terms: 26w + 22w = 48w -2 + 48w = -38 + -22w + 22w Combine like terms: -22w + 22w = 0 -2 + 48w = -38 + 0 -2 + 48w = -38 Add '2' to each side of the equation. -2 + 2 + 48w = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 48w = -38 + 2 48w = -38 + 2 Combine like terms: -38 + 2 = -36 48w = -36 Divide each side by '48'. w = -0.75 Simplifying w = -0.75
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