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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 = 10 -3w = 10 Divide each side by '-3'. w = -3.333333333 Simplifying w = -3.333333333
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