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Simplifying 6(5 + -8w) + 17 = -241 (5 * 6 + -8w * 6) + 17 = -241 (30 + -48w) + 17 = -241 Reorder the terms: 30 + 17 + -48w = -241 Combine like terms: 30 + 17 = 47 47 + -48w = -241 Solving 47 + -48w = -241 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -48w = -241 + -47 Combine like terms: 47 + -47 = 0 0 + -48w = -241 + -47 -48w = -241 + -47 Combine like terms: -241 + -47 = -288 -48w = -288 Divide each side by '-48'. w = 6 Simplifying w = 6
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