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