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Simplifying 4(3v + -2) + -5(2v + -3) = 0 Reorder the terms: 4(-2 + 3v) + -5(2v + -3) = 0 (-2 * 4 + 3v * 4) + -5(2v + -3) = 0 (-8 + 12v) + -5(2v + -3) = 0 Reorder the terms: -8 + 12v + -5(-3 + 2v) = 0 -8 + 12v + (-3 * -5 + 2v * -5) = 0 -8 + 12v + (15 + -10v) = 0 Reorder the terms: -8 + 15 + 12v + -10v = 0 Combine like terms: -8 + 15 = 7 7 + 12v + -10v = 0 Combine like terms: 12v + -10v = 2v 7 + 2v = 0 Solving 7 + 2v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 0 + -7 2v = 0 + -7 Combine like terms: 0 + -7 = -7 2v = -7 Divide each side by '2'. v = -3.5 Simplifying v = -3.5
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