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Simplifying -2(w + -5) = 3w + -40 Reorder the terms: -2(-5 + w) = 3w + -40 (-5 * -2 + w * -2) = 3w + -40 (10 + -2w) = 3w + -40 Reorder the terms: 10 + -2w = -40 + 3w Solving 10 + -2w = -40 + 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 + -2w + -3w = -40 + 3w + -3w Combine like terms: -2w + -3w = -5w 10 + -5w = -40 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + -5w = -40 + 0 10 + -5w = -40 Add '-10' to each side of the equation. 10 + -10 + -5w = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -5w = -40 + -10 -5w = -40 + -10 Combine like terms: -40 + -10 = -50 -5w = -50 Divide each side by '-5'. w = 10 Simplifying w = 10
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