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Simplifying 4(2w + -1) + -1(w + -5) = 15 Reorder the terms: 4(-1 + 2w) + -1(w + -5) = 15 (-1 * 4 + 2w * 4) + -1(w + -5) = 15 (-4 + 8w) + -1(w + -5) = 15 Reorder the terms: -4 + 8w + -1(-5 + w) = 15 -4 + 8w + (-5 * -1 + w * -1) = 15 -4 + 8w + (5 + -1w) = 15 Reorder the terms: -4 + 5 + 8w + -1w = 15 Combine like terms: -4 + 5 = 1 1 + 8w + -1w = 15 Combine like terms: 8w + -1w = 7w 1 + 7w = 15 Solving 1 + 7w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7w = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7w = 15 + -1 7w = 15 + -1 Combine like terms: 15 + -1 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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