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Simplifying 5(1 + -2x) + 8w = 15 (1 * 5 + -2x * 5) + 8w = 15 (5 + -10x) + 8w = 15 Reorder the terms: 5 + 8w + -10x = 15 Solving 5 + 8w + -10x = 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 + 8w + -5 + -10x = 15 + -5 Reorder the terms: 5 + -5 + 8w + -10x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 8w + -10x = 15 + -5 8w + -10x = 15 + -5 Combine like terms: 15 + -5 = 10 8w + -10x = 10 Add '10x' to each side of the equation. 8w + -10x + 10x = 10 + 10x Combine like terms: -10x + 10x = 0 8w + 0 = 10 + 10x 8w = 10 + 10x Divide each side by '8'. w = 1.25 + 1.25x Simplifying w = 1.25 + 1.25x
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