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Simplifying 3(w + 5) + -10 = 5(w + -2) + -3w + 15 Reorder the terms: 3(5 + w) + -10 = 5(w + -2) + -3w + 15 (5 * 3 + w * 3) + -10 = 5(w + -2) + -3w + 15 (15 + 3w) + -10 = 5(w + -2) + -3w + 15 Reorder the terms: 15 + -10 + 3w = 5(w + -2) + -3w + 15 Combine like terms: 15 + -10 = 5 5 + 3w = 5(w + -2) + -3w + 15 Reorder the terms: 5 + 3w = 5(-2 + w) + -3w + 15 5 + 3w = (-2 * 5 + w * 5) + -3w + 15 5 + 3w = (-10 + 5w) + -3w + 15 Reorder the terms: 5 + 3w = -10 + 15 + 5w + -3w Combine like terms: -10 + 15 = 5 5 + 3w = 5 + 5w + -3w Combine like terms: 5w + -3w = 2w 5 + 3w = 5 + 2w Add '-5' to each side of the equation. 5 + -5 + 3w = 5 + -5 + 2w Combine like terms: 5 + -5 = 0 0 + 3w = 5 + -5 + 2w 3w = 5 + -5 + 2w Combine like terms: 5 + -5 = 0 3w = 0 + 2w 3w = 2w Solving 3w = 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. 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w 1w = 2w + -2w Combine like terms: 2w + -2w = 0 1w = 0 Divide each side by '1'. w = 0 Simplifying w = 0
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