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Simplifying 4(w + 1) = 3(w + -1) Reorder the terms: 4(1 + w) = 3(w + -1) (1 * 4 + w * 4) = 3(w + -1) (4 + 4w) = 3(w + -1) Reorder the terms: 4 + 4w = 3(-1 + w) 4 + 4w = (-1 * 3 + w * 3) 4 + 4w = (-3 + 3w) Solving 4 + 4w = -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. 4 + 4w + -3w = -3 + 3w + -3w Combine like terms: 4w + -3w = 1w 4 + 1w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + 1w = -3 + 0 4 + 1w = -3 Add '-4' to each side of the equation. 4 + -4 + 1w = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1w = -3 + -4 1w = -3 + -4 Combine like terms: -3 + -4 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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