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Simplifying 16(9v + 4) + -4v = 3(4v + 4) + -19 Reorder the terms: 16(4 + 9v) + -4v = 3(4v + 4) + -19 (4 * 16 + 9v * 16) + -4v = 3(4v + 4) + -19 (64 + 144v) + -4v = 3(4v + 4) + -19 Combine like terms: 144v + -4v = 140v 64 + 140v = 3(4v + 4) + -19 Reorder the terms: 64 + 140v = 3(4 + 4v) + -19 64 + 140v = (4 * 3 + 4v * 3) + -19 64 + 140v = (12 + 12v) + -19 Reorder the terms: 64 + 140v = 12 + -19 + 12v Combine like terms: 12 + -19 = -7 64 + 140v = -7 + 12v Solving 64 + 140v = -7 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 64 + 140v + -12v = -7 + 12v + -12v Combine like terms: 140v + -12v = 128v 64 + 128v = -7 + 12v + -12v Combine like terms: 12v + -12v = 0 64 + 128v = -7 + 0 64 + 128v = -7 Add '-64' to each side of the equation. 64 + -64 + 128v = -7 + -64 Combine like terms: 64 + -64 = 0 0 + 128v = -7 + -64 128v = -7 + -64 Combine like terms: -7 + -64 = -71 128v = -71 Divide each side by '128'. v = -0.5546875 Simplifying v = -0.5546875
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