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Simplifying -2(6v + -1) + 9v = 5 + 3(3v + -4) Reorder the terms: -2(-1 + 6v) + 9v = 5 + 3(3v + -4) (-1 * -2 + 6v * -2) + 9v = 5 + 3(3v + -4) (2 + -12v) + 9v = 5 + 3(3v + -4) Combine like terms: -12v + 9v = -3v 2 + -3v = 5 + 3(3v + -4) Reorder the terms: 2 + -3v = 5 + 3(-4 + 3v) 2 + -3v = 5 + (-4 * 3 + 3v * 3) 2 + -3v = 5 + (-12 + 9v) Combine like terms: 5 + -12 = -7 2 + -3v = -7 + 9v Solving 2 + -3v = -7 + 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. 2 + -3v + -9v = -7 + 9v + -9v Combine like terms: -3v + -9v = -12v 2 + -12v = -7 + 9v + -9v Combine like terms: 9v + -9v = 0 2 + -12v = -7 + 0 2 + -12v = -7 Add '-2' to each side of the equation. 2 + -2 + -12v = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -12v = -7 + -2 -12v = -7 + -2 Combine like terms: -7 + -2 = -9 -12v = -9 Divide each side by '-12'. v = 0.75 Simplifying v = 0.75
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