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Simplifying 3(w + 3) + w = 2(w + -1) + 3 Reorder the terms: 3(3 + w) + w = 2(w + -1) + 3 (3 * 3 + w * 3) + w = 2(w + -1) + 3 (9 + 3w) + w = 2(w + -1) + 3 Combine like terms: 3w + w = 4w 9 + 4w = 2(w + -1) + 3 Reorder the terms: 9 + 4w = 2(-1 + w) + 3 9 + 4w = (-1 * 2 + w * 2) + 3 9 + 4w = (-2 + 2w) + 3 Reorder the terms: 9 + 4w = -2 + 3 + 2w Combine like terms: -2 + 3 = 1 9 + 4w = 1 + 2w Solving 9 + 4w = 1 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 9 + 4w + -2w = 1 + 2w + -2w Combine like terms: 4w + -2w = 2w 9 + 2w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + 2w = 1 + 0 9 + 2w = 1 Add '-9' to each side of the equation. 9 + -9 + 2w = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 1 + -9 2w = 1 + -9 Combine like terms: 1 + -9 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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