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Simplifying -5(w + -2) = (-2) * w + -5 Reorder the terms: -5(-2 + w) = (-2) * w + -5 (-2 * -5 + w * -5) = (-2) * w + -5 (10 + -5w) = (-2) * w + -5 Reorder the terms: 10 + -5w = -5 + -2w Solving 10 + -5w = -5 + -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. 10 + -5w + 2w = -5 + -2w + 2w Combine like terms: -5w + 2w = -3w 10 + -3w = -5 + -2w + 2w Combine like terms: -2w + 2w = 0 10 + -3w = -5 + 0 10 + -3w = -5 Add '-10' to each side of the equation. 10 + -10 + -3w = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = -5 + -10 -3w = -5 + -10 Combine like terms: -5 + -10 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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