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Simplifying 3(v + 4) + -4v = 3(3v + 1) + -9 Reorder the terms: 3(4 + v) + -4v = 3(3v + 1) + -9 (4 * 3 + v * 3) + -4v = 3(3v + 1) + -9 (12 + 3v) + -4v = 3(3v + 1) + -9 Combine like terms: 3v + -4v = -1v 12 + -1v = 3(3v + 1) + -9 Reorder the terms: 12 + -1v = 3(1 + 3v) + -9 12 + -1v = (1 * 3 + 3v * 3) + -9 12 + -1v = (3 + 9v) + -9 Reorder the terms: 12 + -1v = 3 + -9 + 9v Combine like terms: 3 + -9 = -6 12 + -1v = -6 + 9v Solving 12 + -1v = -6 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 12 + -1v + -9v = -6 + 9v + -9v Combine like terms: -1v + -9v = -10v 12 + -10v = -6 + 9v + -9v Combine like terms: 9v + -9v = 0 12 + -10v = -6 + 0 12 + -10v = -6 Add '-12' to each side of the equation. 12 + -12 + -10v = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -10v = -6 + -12 -10v = -6 + -12 Combine like terms: -6 + -12 = -18 -10v = -18 Divide each side by '-10'. v = 1.8 Simplifying v = 1.8
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