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Simplifying 4w + 8 = 15w + -8 + 64 Reorder the terms: 8 + 4w = 15w + -8 + 64 Reorder the terms: 8 + 4w = -8 + 64 + 15w Combine like terms: -8 + 64 = 56 8 + 4w = 56 + 15w Solving 8 + 4w = 56 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 8 + 4w + -15w = 56 + 15w + -15w Combine like terms: 4w + -15w = -11w 8 + -11w = 56 + 15w + -15w Combine like terms: 15w + -15w = 0 8 + -11w = 56 + 0 8 + -11w = 56 Add '-8' to each side of the equation. 8 + -8 + -11w = 56 + -8 Combine like terms: 8 + -8 = 0 0 + -11w = 56 + -8 -11w = 56 + -8 Combine like terms: 56 + -8 = 48 -11w = 48 Divide each side by '-11'. w = -4.363636364 Simplifying w = -4.363636364
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