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Simplifying -3(6w + -1) + 5w = 2(w + 6) Reorder the terms: -3(-1 + 6w) + 5w = 2(w + 6) (-1 * -3 + 6w * -3) + 5w = 2(w + 6) (3 + -18w) + 5w = 2(w + 6) Combine like terms: -18w + 5w = -13w 3 + -13w = 2(w + 6) Reorder the terms: 3 + -13w = 2(6 + w) 3 + -13w = (6 * 2 + w * 2) 3 + -13w = (12 + 2w) Solving 3 + -13w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 3 + -13w + -2w = 12 + 2w + -2w Combine like terms: -13w + -2w = -15w 3 + -15w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + -15w = 12 + 0 3 + -15w = 12 Add '-3' to each side of the equation. 3 + -3 + -15w = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -15w = 12 + -3 -15w = 12 + -3 Combine like terms: 12 + -3 = 9 -15w = 9 Divide each side by '-15'. w = -0.6 Simplifying w = -0.6
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