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Simplifying 3w + 2 + -2(-5w + -4) = 3(w + -2) Reorder the terms: 3w + 2 + -2(-4 + -5w) = 3(w + -2) 3w + 2 + (-4 * -2 + -5w * -2) = 3(w + -2) 3w + 2 + (8 + 10w) = 3(w + -2) Reorder the terms: 2 + 8 + 3w + 10w = 3(w + -2) Combine like terms: 2 + 8 = 10 10 + 3w + 10w = 3(w + -2) Combine like terms: 3w + 10w = 13w 10 + 13w = 3(w + -2) Reorder the terms: 10 + 13w = 3(-2 + w) 10 + 13w = (-2 * 3 + w * 3) 10 + 13w = (-6 + 3w) Solving 10 + 13w = -6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 10 + 13w + -3w = -6 + 3w + -3w Combine like terms: 13w + -3w = 10w 10 + 10w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + 10w = -6 + 0 10 + 10w = -6 Add '-10' to each side of the equation. 10 + -10 + 10w = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 10w = -6 + -10 10w = -6 + -10 Combine like terms: -6 + -10 = -16 10w = -16 Divide each side by '10'. w = -1.6 Simplifying w = -1.6
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