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Simplifying 5(3v + -2) + -3(4v + 3) = 44 Reorder the terms: 5(-2 + 3v) + -3(4v + 3) = 44 (-2 * 5 + 3v * 5) + -3(4v + 3) = 44 (-10 + 15v) + -3(4v + 3) = 44 Reorder the terms: -10 + 15v + -3(3 + 4v) = 44 -10 + 15v + (3 * -3 + 4v * -3) = 44 -10 + 15v + (-9 + -12v) = 44 Reorder the terms: -10 + -9 + 15v + -12v = 44 Combine like terms: -10 + -9 = -19 -19 + 15v + -12v = 44 Combine like terms: 15v + -12v = 3v -19 + 3v = 44 Solving -19 + 3v = 44 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3v = 44 + 19 Combine like terms: -19 + 19 = 0 0 + 3v = 44 + 19 3v = 44 + 19 Combine like terms: 44 + 19 = 63 3v = 63 Divide each side by '3'. v = 21 Simplifying v = 21
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