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Simplifying 4(v + 4) = 3(v + 3) Reorder the terms: 4(4 + v) = 3(v + 3) (4 * 4 + v * 4) = 3(v + 3) (16 + 4v) = 3(v + 3) Reorder the terms: 16 + 4v = 3(3 + v) 16 + 4v = (3 * 3 + v * 3) 16 + 4v = (9 + 3v) Solving 16 + 4v = 9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 16 + 4v + -3v = 9 + 3v + -3v Combine like terms: 4v + -3v = 1v 16 + 1v = 9 + 3v + -3v Combine like terms: 3v + -3v = 0 16 + 1v = 9 + 0 16 + 1v = 9 Add '-16' to each side of the equation. 16 + -16 + 1v = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 1v = 9 + -16 1v = 9 + -16 Combine like terms: 9 + -16 = -7 1v = -7 Divide each side by '1'. v = -7 Simplifying v = -7
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