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