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Simplifying 5 + -1(2w + -2) = 3(3w + -8) Reorder the terms: 5 + -1(-2 + 2w) = 3(3w + -8) 5 + (-2 * -1 + 2w * -1) = 3(3w + -8) 5 + (2 + -2w) = 3(3w + -8) Combine like terms: 5 + 2 = 7 7 + -2w = 3(3w + -8) Reorder the terms: 7 + -2w = 3(-8 + 3w) 7 + -2w = (-8 * 3 + 3w * 3) 7 + -2w = (-24 + 9w) Solving 7 + -2w = -24 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 7 + -2w + -9w = -24 + 9w + -9w Combine like terms: -2w + -9w = -11w 7 + -11w = -24 + 9w + -9w Combine like terms: 9w + -9w = 0 7 + -11w = -24 + 0 7 + -11w = -24 Add '-7' to each side of the equation. 7 + -7 + -11w = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -11w = -24 + -7 -11w = -24 + -7 Combine like terms: -24 + -7 = -31 -11w = -31 Divide each side by '-11'. w = 2.818181818 Simplifying w = 2.818181818
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