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Simplifying 23 + -3(2w + 10) = 8w + -3(8 + w) Reorder the terms: 23 + -3(10 + 2w) = 8w + -3(8 + w) 23 + (10 * -3 + 2w * -3) = 8w + -3(8 + w) 23 + (-30 + -6w) = 8w + -3(8 + w) Combine like terms: 23 + -30 = -7 -7 + -6w = 8w + -3(8 + w) -7 + -6w = 8w + (8 * -3 + w * -3) -7 + -6w = 8w + (-24 + -3w) Reorder the terms: -7 + -6w = -24 + 8w + -3w Combine like terms: 8w + -3w = 5w -7 + -6w = -24 + 5w Solving -7 + -6w = -24 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + -6w + -5w = -24 + 5w + -5w Combine like terms: -6w + -5w = -11w -7 + -11w = -24 + 5w + -5w Combine like terms: 5w + -5w = 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 = -17 -11w = -17 Divide each side by '-11'. w = 1.545454545 Simplifying w = 1.545454545
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