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Simplifying 4(w + 1) = 3(v + 4) + 7 Reorder the terms: 4(1 + w) = 3(v + 4) + 7 (1 * 4 + w * 4) = 3(v + 4) + 7 (4 + 4w) = 3(v + 4) + 7 Reorder the terms: 4 + 4w = 3(4 + v) + 7 4 + 4w = (4 * 3 + v * 3) + 7 4 + 4w = (12 + 3v) + 7 Reorder the terms: 4 + 4w = 12 + 7 + 3v Combine like terms: 12 + 7 = 19 4 + 4w = 19 + 3v Solving 4 + 4w = 19 + 3v Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4w = 19 + -4 + 3v Combine like terms: 4 + -4 = 0 0 + 4w = 19 + -4 + 3v 4w = 19 + -4 + 3v Combine like terms: 19 + -4 = 15 4w = 15 + 3v Divide each side by '4'. w = 3.75 + 0.75v Simplifying w = 3.75 + 0.75v
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