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Simplifying 5(1 + -2w) + 8w = 15 (1 * 5 + -2w * 5) + 8w = 15 (5 + -10w) + 8w = 15 Combine like terms: -10w + 8w = -2w 5 + -2w = 15 Solving 5 + -2w = 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 + -2w = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 15 + -5 -2w = 15 + -5 Combine like terms: 15 + -5 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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