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Simplifying -3w + 8 = -7 + 8w Reorder the terms: 8 + -3w = -7 + 8w Solving 8 + -3w = -7 + 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. 8 + -3w + -8w = -7 + 8w + -8w Combine like terms: -3w + -8w = -11w 8 + -11w = -7 + 8w + -8w Combine like terms: 8w + -8w = 0 8 + -11w = -7 + 0 8 + -11w = -7 Add '-8' to each side of the equation. 8 + -8 + -11w = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -11w = -7 + -8 -11w = -7 + -8 Combine like terms: -7 + -8 = -15 -11w = -15 Divide each side by '-11'. w = 1.363636364 Simplifying w = 1.363636364
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