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