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Simplifying 5(1 + -2w) + 8x = 15 (1 * 5 + -2w * 5) + 8x = 15 (5 + -10w) + 8x = 15 Solving 5 + -10w + 8x = 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 + -10w + -5 + 8x = 15 + -5 Reorder the terms: 5 + -5 + -10w + 8x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -10w + 8x = 15 + -5 -10w + 8x = 15 + -5 Combine like terms: 15 + -5 = 10 -10w + 8x = 10 Add '-8x' to each side of the equation. -10w + 8x + -8x = 10 + -8x Combine like terms: 8x + -8x = 0 -10w + 0 = 10 + -8x -10w = 10 + -8x Divide each side by '-10'. w = -1 + 0.8x Simplifying w = -1 + 0.8x
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