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Simplifying 5(1 + -2w) + 8 = 15 (1 * 5 + -2w * 5) + 8 = 15 (5 + -10w) + 8 = 15 Reorder the terms: 5 + 8 + -10w = 15 Combine like terms: 5 + 8 = 13 13 + -10w = 15 Solving 13 + -10w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -10w = 15 + -13 Combine like terms: 13 + -13 = 0 0 + -10w = 15 + -13 -10w = 15 + -13 Combine like terms: 15 + -13 = 2 -10w = 2 Divide each side by '-10'. w = -0.2 Simplifying w = -0.2
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