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