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Simplifying 5w + 2 + -3(-4w + -2) = 2(w + -5) Reorder the terms: 5w + 2 + -3(-2 + -4w) = 2(w + -5) 5w + 2 + (-2 * -3 + -4w * -3) = 2(w + -5) 5w + 2 + (6 + 12w) = 2(w + -5) Reorder the terms: 2 + 6 + 5w + 12w = 2(w + -5) Combine like terms: 2 + 6 = 8 8 + 5w + 12w = 2(w + -5) Combine like terms: 5w + 12w = 17w 8 + 17w = 2(w + -5) Reorder the terms: 8 + 17w = 2(-5 + w) 8 + 17w = (-5 * 2 + w * 2) 8 + 17w = (-10 + 2w) Solving 8 + 17w = -10 + 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. 8 + 17w + -2w = -10 + 2w + -2w Combine like terms: 17w + -2w = 15w 8 + 15w = -10 + 2w + -2w Combine like terms: 2w + -2w = 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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