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Simplifying -3(v + -5) + 8(2v + -1) = 0 Reorder the terms: -3(-5 + v) + 8(2v + -1) = 0 (-5 * -3 + v * -3) + 8(2v + -1) = 0 (15 + -3v) + 8(2v + -1) = 0 Reorder the terms: 15 + -3v + 8(-1 + 2v) = 0 15 + -3v + (-1 * 8 + 2v * 8) = 0 15 + -3v + (-8 + 16v) = 0 Reorder the terms: 15 + -8 + -3v + 16v = 0 Combine like terms: 15 + -8 = 7 7 + -3v + 16v = 0 Combine like terms: -3v + 16v = 13v 7 + 13v = 0 Solving 7 + 13v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 13v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 13v = 0 + -7 13v = 0 + -7 Combine like terms: 0 + -7 = -7 13v = -7 Divide each side by '13'. v = -0.5384615385 Simplifying v = -0.5384615385
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