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Simplifying 30w + -1(-1w + 6) + (-5w + 4) = -1(-5w + 6) + (-8 + 3w) Reorder the terms: 30w + -1(6 + -1w) + (-5w + 4) = -1(-5w + 6) + (-8 + 3w) 30w + (6 * -1 + -1w * -1) + (-5w + 4) = -1(-5w + 6) + (-8 + 3w) 30w + (-6 + 1w) + (-5w + 4) = -1(-5w + 6) + (-8 + 3w) Reorder the terms: 30w + -6 + 1w + (4 + -5w) = -1(-5w + 6) + (-8 + 3w) Remove parenthesis around (4 + -5w) 30w + -6 + 1w + 4 + -5w = -1(-5w + 6) + (-8 + 3w) Reorder the terms: -6 + 4 + 30w + 1w + -5w = -1(-5w + 6) + (-8 + 3w) Combine like terms: -6 + 4 = -2 -2 + 30w + 1w + -5w = -1(-5w + 6) + (-8 + 3w) Combine like terms: 30w + 1w = 31w -2 + 31w + -5w = -1(-5w + 6) + (-8 + 3w) Combine like terms: 31w + -5w = 26w -2 + 26w = -1(-5w + 6) + (-8 + 3w) Reorder the terms: -2 + 26w = -1(6 + -5w) + (-8 + 3w) -2 + 26w = (6 * -1 + -5w * -1) + (-8 + 3w) -2 + 26w = (-6 + 5w) + (-8 + 3w) Remove parenthesis around (-8 + 3w) -2 + 26w = -6 + 5w + -8 + 3w Reorder the terms: -2 + 26w = -6 + -8 + 5w + 3w Combine like terms: -6 + -8 = -14 -2 + 26w = -14 + 5w + 3w Combine like terms: 5w + 3w = 8w -2 + 26w = -14 + 8w Solving -2 + 26w = -14 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -2 + 26w + -8w = -14 + 8w + -8w Combine like terms: 26w + -8w = 18w -2 + 18w = -14 + 8w + -8w Combine like terms: 8w + -8w = 0 -2 + 18w = -14 + 0 -2 + 18w = -14 Add '2' to each side of the equation. -2 + 2 + 18w = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 18w = -14 + 2 18w = -14 + 2 Combine like terms: -14 + 2 = -12 18w = -12 Divide each side by '18'. w = -0.6666666667 Simplifying w = -0.6666666667
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