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Simplifying 2w + 5 + -3(-6w + -1) = 5(w + -2) Reorder the terms: 2w + 5 + -3(-1 + -6w) = 5(w + -2) 2w + 5 + (-1 * -3 + -6w * -3) = 5(w + -2) 2w + 5 + (3 + 18w) = 5(w + -2) Reorder the terms: 5 + 3 + 2w + 18w = 5(w + -2) Combine like terms: 5 + 3 = 8 8 + 2w + 18w = 5(w + -2) Combine like terms: 2w + 18w = 20w 8 + 20w = 5(w + -2) Reorder the terms: 8 + 20w = 5(-2 + w) 8 + 20w = (-2 * 5 + w * 5) 8 + 20w = (-10 + 5w) Solving 8 + 20w = -10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 8 + 20w + -5w = -10 + 5w + -5w Combine like terms: 20w + -5w = 15w 8 + 15w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + 15w = -10 + 0 8 + 15w = -10 Add '-8' to each side of the equation. 8 + -8 + 15w = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 15w = -10 + -8 15w = -10 + -8 Combine like terms: -10 + -8 = -18 15w = -18 Divide each side by '15'. w = -1.2 Simplifying w = -1.2
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