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Simplifying 9 + 2(3v + -4) = -3(2v + -5) + 4v Reorder the terms: 9 + 2(-4 + 3v) = -3(2v + -5) + 4v 9 + (-4 * 2 + 3v * 2) = -3(2v + -5) + 4v 9 + (-8 + 6v) = -3(2v + -5) + 4v Combine like terms: 9 + -8 = 1 1 + 6v = -3(2v + -5) + 4v Reorder the terms: 1 + 6v = -3(-5 + 2v) + 4v 1 + 6v = (-5 * -3 + 2v * -3) + 4v 1 + 6v = (15 + -6v) + 4v Combine like terms: -6v + 4v = -2v 1 + 6v = 15 + -2v Solving 1 + 6v = 15 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 1 + 6v + 2v = 15 + -2v + 2v Combine like terms: 6v + 2v = 8v 1 + 8v = 15 + -2v + 2v Combine like terms: -2v + 2v = 0 1 + 8v = 15 + 0 1 + 8v = 15 Add '-1' to each side of the equation. 1 + -1 + 8v = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 8v = 15 + -1 8v = 15 + -1 Combine like terms: 15 + -1 = 14 8v = 14 Divide each side by '8'. v = 1.75 Simplifying v = 1.75
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