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Simplifying 35 + -4(2w + 1) = 11w + -4(11 + w) Reorder the terms: 35 + -4(1 + 2w) = 11w + -4(11 + w) 35 + (1 * -4 + 2w * -4) = 11w + -4(11 + w) 35 + (-4 + -8w) = 11w + -4(11 + w) Combine like terms: 35 + -4 = 31 31 + -8w = 11w + -4(11 + w) 31 + -8w = 11w + (11 * -4 + w * -4) 31 + -8w = 11w + (-44 + -4w) Reorder the terms: 31 + -8w = -44 + 11w + -4w Combine like terms: 11w + -4w = 7w 31 + -8w = -44 + 7w Solving 31 + -8w = -44 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 31 + -8w + -7w = -44 + 7w + -7w Combine like terms: -8w + -7w = -15w 31 + -15w = -44 + 7w + -7w Combine like terms: 7w + -7w = 0 31 + -15w = -44 + 0 31 + -15w = -44 Add '-31' to each side of the equation. 31 + -31 + -15w = -44 + -31 Combine like terms: 31 + -31 = 0 0 + -15w = -44 + -31 -15w = -44 + -31 Combine like terms: -44 + -31 = -75 -15w = -75 Divide each side by '-15'. w = 5 Simplifying w = 5
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