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Simplifying 4(v + -3) + 5(3v + -1) = 0 Reorder the terms: 4(-3 + v) + 5(3v + -1) = 0 (-3 * 4 + v * 4) + 5(3v + -1) = 0 (-12 + 4v) + 5(3v + -1) = 0 Reorder the terms: -12 + 4v + 5(-1 + 3v) = 0 -12 + 4v + (-1 * 5 + 3v * 5) = 0 -12 + 4v + (-5 + 15v) = 0 Reorder the terms: -12 + -5 + 4v + 15v = 0 Combine like terms: -12 + -5 = -17 -17 + 4v + 15v = 0 Combine like terms: 4v + 15v = 19v -17 + 19v = 0 Solving -17 + 19v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 19v = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 19v = 0 + 17 19v = 0 + 17 Combine like terms: 0 + 17 = 17 19v = 17 Divide each side by '19'. v = 0.8947368421 Simplifying v = 0.8947368421
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