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