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Simplifying -2(w + 1) + 5 = 3(w + 1) + -2 Reorder the terms: -2(1 + w) + 5 = 3(w + 1) + -2 (1 * -2 + w * -2) + 5 = 3(w + 1) + -2 (-2 + -2w) + 5 = 3(w + 1) + -2 Reorder the terms: -2 + 5 + -2w = 3(w + 1) + -2 Combine like terms: -2 + 5 = 3 3 + -2w = 3(w + 1) + -2 Reorder the terms: 3 + -2w = 3(1 + w) + -2 3 + -2w = (1 * 3 + w * 3) + -2 3 + -2w = (3 + 3w) + -2 Reorder the terms: 3 + -2w = 3 + -2 + 3w Combine like terms: 3 + -2 = 1 3 + -2w = 1 + 3w Solving 3 + -2w = 1 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 3 + -2w + -3w = 1 + 3w + -3w Combine like terms: -2w + -3w = -5w 3 + -5w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + -5w = 1 + 0 3 + -5w = 1 Add '-3' to each side of the equation. 3 + -3 + -5w = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = 1 + -3 -5w = 1 + -3 Combine like terms: 1 + -3 = -2 -5w = -2 Divide each side by '-5'. w = 0.4 Simplifying w = 0.4
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