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Simplifying 4(w + 1) + w = 3(w + -2) + 2 Reorder the terms: 4(1 + w) + w = 3(w + -2) + 2 (1 * 4 + w * 4) + w = 3(w + -2) + 2 (4 + 4w) + w = 3(w + -2) + 2 Combine like terms: 4w + w = 5w 4 + 5w = 3(w + -2) + 2 Reorder the terms: 4 + 5w = 3(-2 + w) + 2 4 + 5w = (-2 * 3 + w * 3) + 2 4 + 5w = (-6 + 3w) + 2 Reorder the terms: 4 + 5w = -6 + 2 + 3w Combine like terms: -6 + 2 = -4 4 + 5w = -4 + 3w Solving 4 + 5w = -4 + 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. 4 + 5w + -3w = -4 + 3w + -3w Combine like terms: 5w + -3w = 2w 4 + 2w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + 2w = -4 + 0 4 + 2w = -4 Add '-4' to each side of the equation. 4 + -4 + 2w = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = -4 + -4 2w = -4 + -4 Combine like terms: -4 + -4 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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