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Simplifying -5(w + -2) = 3w + 2 Reorder the terms: -5(-2 + w) = 3w + 2 (-2 * -5 + w * -5) = 3w + 2 (10 + -5w) = 3w + 2 Reorder the terms: 10 + -5w = 2 + 3w Solving 10 + -5w = 2 + 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 + -5w + -3w = 2 + 3w + -3w Combine like terms: -5w + -3w = -8w 10 + -8w = 2 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + -8w = 2 + 0 10 + -8w = 2 Add '-10' to each side of the equation. 10 + -10 + -8w = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8w = 2 + -10 -8w = 2 + -10 Combine like terms: 2 + -10 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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