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