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Simplifying 5(3v + -2) + -2(4v + 3) = 44 Reorder the terms: 5(-2 + 3v) + -2(4v + 3) = 44 (-2 * 5 + 3v * 5) + -2(4v + 3) = 44 (-10 + 15v) + -2(4v + 3) = 44 Reorder the terms: -10 + 15v + -2(3 + 4v) = 44 -10 + 15v + (3 * -2 + 4v * -2) = 44 -10 + 15v + (-6 + -8v) = 44 Reorder the terms: -10 + -6 + 15v + -8v = 44 Combine like terms: -10 + -6 = -16 -16 + 15v + -8v = 44 Combine like terms: 15v + -8v = 7v -16 + 7v = 44 Solving -16 + 7v = 44 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7v = 44 + 16 Combine like terms: -16 + 16 = 0 0 + 7v = 44 + 16 7v = 44 + 16 Combine like terms: 44 + 16 = 60 7v = 60 Divide each side by '7'. v = 8.571428571 Simplifying v = 8.571428571
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