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Simplifying 4(w + 1) + w = (w + -2) + 2 Reorder the terms: 4(1 + w) + w = (w + -2) + 2 (1 * 4 + w * 4) + w = (w + -2) + 2 (4 + 4w) + w = (w + -2) + 2 Combine like terms: 4w + w = 5w 4 + 5w = (w + -2) + 2 Reorder the terms: 4 + 5w = (-2 + w) + 2 Remove parenthesis around (-2 + w) 4 + 5w = -2 + w + 2 Reorder the terms: 4 + 5w = -2 + 2 + w Combine like terms: -2 + 2 = 0 4 + 5w = 0 + w 4 + 5w = w Solving 4 + 5w = 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. 4 + 5w + -1w = w + -1w Combine like terms: 5w + -1w = 4w 4 + 4w = w + -1w Combine like terms: w + -1w = 0 4 + 4w = 0 Add '-4' to each side of the equation. 4 + -4 + 4w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 0 + -4 4w = 0 + -4 Combine like terms: 0 + -4 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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