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Simplifying 13w + -2(4w + -1) = w + -58 Reorder the terms: 13w + -2(-1 + 4w) = w + -58 13w + (-1 * -2 + 4w * -2) = w + -58 13w + (2 + -8w) = w + -58 Reorder the terms: 2 + 13w + -8w = w + -58 Combine like terms: 13w + -8w = 5w 2 + 5w = w + -58 Reorder the terms: 2 + 5w = -58 + w Solving 2 + 5w = -58 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 2 + 5w + -1w = -58 + w + -1w Combine like terms: 5w + -1w = 4w 2 + 4w = -58 + w + -1w Combine like terms: w + -1w = 0 2 + 4w = -58 + 0 2 + 4w = -58 Add '-2' to each side of the equation. 2 + -2 + 4w = -58 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = -58 + -2 4w = -58 + -2 Combine like terms: -58 + -2 = -60 4w = -60 Divide each side by '4'. w = -15 Simplifying w = -15
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