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Simplifying -5(-4v + 2) + -5v = 5(v + -5) + -3 Reorder the terms: -5(2 + -4v) + -5v = 5(v + -5) + -3 (2 * -5 + -4v * -5) + -5v = 5(v + -5) + -3 (-10 + 20v) + -5v = 5(v + -5) + -3 Combine like terms: 20v + -5v = 15v -10 + 15v = 5(v + -5) + -3 Reorder the terms: -10 + 15v = 5(-5 + v) + -3 -10 + 15v = (-5 * 5 + v * 5) + -3 -10 + 15v = (-25 + 5v) + -3 Reorder the terms: -10 + 15v = -25 + -3 + 5v Combine like terms: -25 + -3 = -28 -10 + 15v = -28 + 5v Solving -10 + 15v = -28 + 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. -10 + 15v + -5v = -28 + 5v + -5v Combine like terms: 15v + -5v = 10v -10 + 10v = -28 + 5v + -5v Combine like terms: 5v + -5v = 0 -10 + 10v = -28 + 0 -10 + 10v = -28 Add '10' to each side of the equation. -10 + 10 + 10v = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 10v = -28 + 10 10v = -28 + 10 Combine like terms: -28 + 10 = -18 10v = -18 Divide each side by '10'. v = -1.8 Simplifying v = -1.8
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