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Simplifying 2(3v + -8) + -5(-8v + -5) = -37 Reorder the terms: 2(-8 + 3v) + -5(-8v + -5) = -37 (-8 * 2 + 3v * 2) + -5(-8v + -5) = -37 (-16 + 6v) + -5(-8v + -5) = -37 Reorder the terms: -16 + 6v + -5(-5 + -8v) = -37 -16 + 6v + (-5 * -5 + -8v * -5) = -37 -16 + 6v + (25 + 40v) = -37 Reorder the terms: -16 + 25 + 6v + 40v = -37 Combine like terms: -16 + 25 = 9 9 + 6v + 40v = -37 Combine like terms: 6v + 40v = 46v 9 + 46v = -37 Solving 9 + 46v = -37 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 46v = -37 + -9 Combine like terms: 9 + -9 = 0 0 + 46v = -37 + -9 46v = -37 + -9 Combine like terms: -37 + -9 = -46 46v = -46 Divide each side by '46'. v = -1 Simplifying v = -1
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