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Simplifying 5 + -1(2 + w) = w + 5 5 + (2 * -1 + w * -1) = w + 5 5 + (-2 + -1w) = w + 5 Combine like terms: 5 + -2 = 3 3 + -1w = w + 5 Reorder the terms: 3 + -1w = 5 + w Solving 3 + -1w = 5 + 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. 3 + -1w + -1w = 5 + w + -1w Combine like terms: -1w + -1w = -2w 3 + -2w = 5 + w + -1w Combine like terms: w + -1w = 0 3 + -2w = 5 + 0 3 + -2w = 5 Add '-3' to each side of the equation. 3 + -3 + -2w = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 5 + -3 -2w = 5 + -3 Combine like terms: 5 + -3 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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