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Simplifying 15 = 8w + -42 Reorder the terms: 15 = -42 + 8w Solving 15 = -42 + 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. 15 + -8w = -42 + 8w + -8w Combine like terms: 8w + -8w = 0 15 + -8w = -42 + 0 15 + -8w = -42 Add '-15' to each side of the equation. 15 + -15 + -8w = -42 + -15 Combine like terms: 15 + -15 = 0 0 + -8w = -42 + -15 -8w = -42 + -15 Combine like terms: -42 + -15 = -57 -8w = -57 Divide each side by '-8'. w = 7.125 Simplifying w = 7.125
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