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Simplifying 5w + 10 = 2(4w + -10) Reorder the terms: 10 + 5w = 2(4w + -10) Reorder the terms: 10 + 5w = 2(-10 + 4w) 10 + 5w = (-10 * 2 + 4w * 2) 10 + 5w = (-20 + 8w) Solving 10 + 5w = -20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 10 + 5w + -8w = -20 + 8w + -8w Combine like terms: 5w + -8w = -3w 10 + -3w = -20 + 8w + -8w Combine like terms: 8w + -8w = 0 10 + -3w = -20 + 0 10 + -3w = -20 Add '-10' to each side of the equation. 10 + -10 + -3w = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = -20 + -10 -3w = -20 + -10 Combine like terms: -20 + -10 = -30 -3w = -30 Divide each side by '-3'. w = 10 Simplifying w = 10
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