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Simplifying -4(-5v + 2) + -5v = 5(v + -1) + -8 Reorder the terms: -4(2 + -5v) + -5v = 5(v + -1) + -8 (2 * -4 + -5v * -4) + -5v = 5(v + -1) + -8 (-8 + 20v) + -5v = 5(v + -1) + -8 Combine like terms: 20v + -5v = 15v -8 + 15v = 5(v + -1) + -8 Reorder the terms: -8 + 15v = 5(-1 + v) + -8 -8 + 15v = (-1 * 5 + v * 5) + -8 -8 + 15v = (-5 + 5v) + -8 Reorder the terms: -8 + 15v = -5 + -8 + 5v Combine like terms: -5 + -8 = -13 -8 + 15v = -13 + 5v Solving -8 + 15v = -13 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -8 + 15v + -5v = -13 + 5v + -5v Combine like terms: 15v + -5v = 10v -8 + 10v = -13 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + 10v = -13 + 0 -8 + 10v = -13 Add '8' to each side of the equation. -8 + 8 + 10v = -13 + 8 Combine like terms: -8 + 8 = 0 0 + 10v = -13 + 8 10v = -13 + 8 Combine like terms: -13 + 8 = -5 10v = -5 Divide each side by '10'. v = -0.5 Simplifying v = -0.5
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