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Simplifying 2w + -1(5 + -1w) = 13 + 2w 2w + (5 * -1 + -1w * -1) = 13 + 2w 2w + (-5 + 1w) = 13 + 2w Reorder the terms: -5 + 2w + 1w = 13 + 2w Combine like terms: 2w + 1w = 3w -5 + 3w = 13 + 2w Solving -5 + 3w = 13 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -5 + 3w + -2w = 13 + 2w + -2w Combine like terms: 3w + -2w = 1w -5 + 1w = 13 + 2w + -2w Combine like terms: 2w + -2w = 0 -5 + 1w = 13 + 0 -5 + 1w = 13 Add '5' to each side of the equation. -5 + 5 + 1w = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 1w = 13 + 5 1w = 13 + 5 Combine like terms: 13 + 5 = 18 1w = 18 Divide each side by '1'. w = 18 Simplifying w = 18
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