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Simplifying 3(4v + -5) + 3(v + -4) = 0 Reorder the terms: 3(-5 + 4v) + 3(v + -4) = 0 (-5 * 3 + 4v * 3) + 3(v + -4) = 0 (-15 + 12v) + 3(v + -4) = 0 Reorder the terms: -15 + 12v + 3(-4 + v) = 0 -15 + 12v + (-4 * 3 + v * 3) = 0 -15 + 12v + (-12 + 3v) = 0 Reorder the terms: -15 + -12 + 12v + 3v = 0 Combine like terms: -15 + -12 = -27 -27 + 12v + 3v = 0 Combine like terms: 12v + 3v = 15v -27 + 15v = 0 Solving -27 + 15v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 15v = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 15v = 0 + 27 15v = 0 + 27 Combine like terms: 0 + 27 = 27 15v = 27 Divide each side by '15'. v = 1.8 Simplifying v = 1.8
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