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Simplifying 1 + 9v + v + -1 = -3(v + 4) + -12(8v + -1) Reorder the terms: 1 + -1 + 9v + v = -3(v + 4) + -12(8v + -1) Combine like terms: 1 + -1 = 0 0 + 9v + v = -3(v + 4) + -12(8v + -1) 9v + v = -3(v + 4) + -12(8v + -1) Combine like terms: 9v + v = 10v 10v = -3(v + 4) + -12(8v + -1) Reorder the terms: 10v = -3(4 + v) + -12(8v + -1) 10v = (4 * -3 + v * -3) + -12(8v + -1) 10v = (-12 + -3v) + -12(8v + -1) Reorder the terms: 10v = -12 + -3v + -12(-1 + 8v) 10v = -12 + -3v + (-1 * -12 + 8v * -12) 10v = -12 + -3v + (12 + -96v) Reorder the terms: 10v = -12 + 12 + -3v + -96v Combine like terms: -12 + 12 = 0 10v = 0 + -3v + -96v 10v = -3v + -96v Combine like terms: -3v + -96v = -99v 10v = -99v Solving 10v = -99v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '99v' to each side of the equation. 10v + 99v = -99v + 99v Combine like terms: 10v + 99v = 109v 109v = -99v + 99v Combine like terms: -99v + 99v = 0 109v = 0 Divide each side by '109'. v = 0 Simplifying v = 0
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