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Simplifying -1w + -1(5 + 2w) = -13 + 5w -1w + (5 * -1 + 2w * -1) = -13 + 5w -1w + (-5 + -2w) = -13 + 5w Reorder the terms: -5 + -1w + -2w = -13 + 5w Combine like terms: -1w + -2w = -3w -5 + -3w = -13 + 5w Solving -5 + -3w = -13 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -5 + -3w + -5w = -13 + 5w + -5w Combine like terms: -3w + -5w = -8w -5 + -8w = -13 + 5w + -5w Combine like terms: 5w + -5w = 0 -5 + -8w = -13 + 0 -5 + -8w = -13 Add '5' to each side of the equation. -5 + 5 + -8w = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -8w = -13 + 5 -8w = -13 + 5 Combine like terms: -13 + 5 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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