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Simplifying 1 + -1(2 + w) = (w + 5) 1 + (2 * -1 + w * -1) = (w + 5) 1 + (-2 + -1w) = (w + 5) Combine like terms: 1 + -2 = -1 -1 + -1w = (w + 5) Reorder the terms: -1 + -1w = (5 + w) Remove parenthesis around (5 + w) -1 + -1w = 5 + w Solving -1 + -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. -1 + -1w + -1w = 5 + w + -1w Combine like terms: -1w + -1w = -2w -1 + -2w = 5 + w + -1w Combine like terms: w + -1w = 0 -1 + -2w = 5 + 0 -1 + -2w = 5 Add '1' to each side of the equation. -1 + 1 + -2w = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -2w = 5 + 1 -2w = 5 + 1 Combine like terms: 5 + 1 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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