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Simplifying 30W + -1(w + 6) + (-5w + 4) = -1(5w + 6) + (-8 + 3w) Reorder the terms: 30W + -1(6 + w) + (-5w + 4) = -1(5w + 6) + (-8 + 3w) 30W + (6 * -1 + w * -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: -1w + -5w = -6w -2 + 30W + -6w = -1(5w + 6) + (-8 + 3w) Reorder the terms: -2 + 30W + -6w = -1(6 + 5w) + (-8 + 3w) -2 + 30W + -6w = (6 * -1 + 5w * -1) + (-8 + 3w) -2 + 30W + -6w = (-6 + -5w) + (-8 + 3w) Remove parenthesis around (-8 + 3w) -2 + 30W + -6w = -6 + -5w + -8 + 3w Reorder the terms: -2 + 30W + -6w = -6 + -8 + -5w + 3w Combine like terms: -6 + -8 = -14 -2 + 30W + -6w = -14 + -5w + 3w Combine like terms: -5w + 3w = -2w -2 + 30W + -6w = -14 + -2w Solving -2 + 30W + -6w = -14 + -2w Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 30W + 2 + -6w = -14 + 2 + -2w Reorder the terms: -2 + 2 + 30W + -6w = -14 + 2 + -2w Combine like terms: -2 + 2 = 0 0 + 30W + -6w = -14 + 2 + -2w 30W + -6w = -14 + 2 + -2w Combine like terms: -14 + 2 = -12 30W + -6w = -12 + -2w Add '6w' to each side of the equation. 30W + -6w + 6w = -12 + -2w + 6w Combine like terms: -6w + 6w = 0 30W + 0 = -12 + -2w + 6w 30W = -12 + -2w + 6w Combine like terms: -2w + 6w = 4w 30W = -12 + 4w Divide each side by '30'. W = -0.4 + 0.1333333333w Simplifying W = -0.4 + 0.1333333333w
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