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Simplifying 5(1 + -2w) + w = 15 (1 * 5 + -2w * 5) + w = 15 (5 + -10w) + w = 15 Combine like terms: -10w + w = -9w 5 + -9w = 15 Solving 5 + -9w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9w = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -9w = 15 + -5 -9w = 15 + -5 Combine like terms: 15 + -5 = 10 -9w = 10 Divide each side by '-9'. w = -1.111111111 Simplifying w = -1.111111111
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