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Simplifying 6 + -1(2w + 1) = 5w + -2(5 + w) Reorder the terms: 6 + -1(1 + 2w) = 5w + -2(5 + w) 6 + (1 * -1 + 2w * -1) = 5w + -2(5 + w) 6 + (-1 + -2w) = 5w + -2(5 + w) Combine like terms: 6 + -1 = 5 5 + -2w = 5w + -2(5 + w) 5 + -2w = 5w + (5 * -2 + w * -2) 5 + -2w = 5w + (-10 + -2w) Reorder the terms: 5 + -2w = -10 + 5w + -2w Combine like terms: 5w + -2w = 3w 5 + -2w = -10 + 3w Solving 5 + -2w = -10 + 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. 5 + -2w + -3w = -10 + 3w + -3w Combine like terms: -2w + -3w = -5w 5 + -5w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 5 + -5w = -10 + 0 5 + -5w = -10 Add '-5' to each side of the equation. 5 + -5 + -5w = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -5w = -10 + -5 -5w = -10 + -5 Combine like terms: -10 + -5 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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