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Simplifying 4(w + 1) + -7 = 3(w + -1) + 3 Reorder the terms: 4(1 + w) + -7 = 3(w + -1) + 3 (1 * 4 + w * 4) + -7 = 3(w + -1) + 3 (4 + 4w) + -7 = 3(w + -1) + 3 Reorder the terms: 4 + -7 + 4w = 3(w + -1) + 3 Combine like terms: 4 + -7 = -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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