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