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Simplifying 3 = -1(v + -4) + 4(2v + -9) Reorder the terms: 3 = -1(-4 + v) + 4(2v + -9) 3 = (-4 * -1 + v * -1) + 4(2v + -9) 3 = (4 + -1v) + 4(2v + -9) Reorder the terms: 3 = 4 + -1v + 4(-9 + 2v) 3 = 4 + -1v + (-9 * 4 + 2v * 4) 3 = 4 + -1v + (-36 + 8v) Reorder the terms: 3 = 4 + -36 + -1v + 8v Combine like terms: 4 + -36 = -32 3 = -32 + -1v + 8v Combine like terms: -1v + 8v = 7v 3 = -32 + 7v Solving 3 = -32 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 3 + -7v = -32 + 7v + -7v Combine like terms: 7v + -7v = 0 3 + -7v = -32 + 0 3 + -7v = -32 Add '-3' to each side of the equation. 3 + -3 + -7v = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -7v = -32 + -3 -7v = -32 + -3 Combine like terms: -32 + -3 = -35 -7v = -35 Divide each side by '-7'. v = 5 Simplifying v = 5
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