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Simplifying 2(v + -2) + -4 = -4(-5v + 3) + -8v Reorder the terms: 2(-2 + v) + -4 = -4(-5v + 3) + -8v (-2 * 2 + v * 2) + -4 = -4(-5v + 3) + -8v (-4 + 2v) + -4 = -4(-5v + 3) + -8v Reorder the terms: -4 + -4 + 2v = -4(-5v + 3) + -8v Combine like terms: -4 + -4 = -8 -8 + 2v = -4(-5v + 3) + -8v Reorder the terms: -8 + 2v = -4(3 + -5v) + -8v -8 + 2v = (3 * -4 + -5v * -4) + -8v -8 + 2v = (-12 + 20v) + -8v Combine like terms: 20v + -8v = 12v -8 + 2v = -12 + 12v Solving -8 + 2v = -12 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -8 + 2v + -12v = -12 + 12v + -12v Combine like terms: 2v + -12v = -10v -8 + -10v = -12 + 12v + -12v Combine like terms: 12v + -12v = 0 -8 + -10v = -12 + 0 -8 + -10v = -12 Add '8' to each side of the equation. -8 + 8 + -10v = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -10v = -12 + 8 -10v = -12 + 8 Combine like terms: -12 + 8 = -4 -10v = -4 Divide each side by '-10'. v = 0.4 Simplifying v = 0.4
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