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Simplifying 4(v + -3) + -8 = -5(-2v + 2) + -2v Reorder the terms: 4(-3 + v) + -8 = -5(-2v + 2) + -2v (-3 * 4 + v * 4) + -8 = -5(-2v + 2) + -2v (-12 + 4v) + -8 = -5(-2v + 2) + -2v Reorder the terms: -12 + -8 + 4v = -5(-2v + 2) + -2v Combine like terms: -12 + -8 = -20 -20 + 4v = -5(-2v + 2) + -2v Reorder the terms: -20 + 4v = -5(2 + -2v) + -2v -20 + 4v = (2 * -5 + -2v * -5) + -2v -20 + 4v = (-10 + 10v) + -2v Combine like terms: 10v + -2v = 8v -20 + 4v = -10 + 8v Solving -20 + 4v = -10 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -20 + 4v + -8v = -10 + 8v + -8v Combine like terms: 4v + -8v = -4v -20 + -4v = -10 + 8v + -8v Combine like terms: 8v + -8v = 0 -20 + -4v = -10 + 0 -20 + -4v = -10 Add '20' to each side of the equation. -20 + 20 + -4v = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -4v = -10 + 20 -4v = -10 + 20 Combine like terms: -10 + 20 = 10 -4v = 10 Divide each side by '-4'. v = -2.5 Simplifying v = -2.5
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