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Simplifying 4(v + -3) + -2 = -4(-5v + 1) + -4v Reorder the terms: 4(-3 + v) + -2 = -4(-5v + 1) + -4v (-3 * 4 + v * 4) + -2 = -4(-5v + 1) + -4v (-12 + 4v) + -2 = -4(-5v + 1) + -4v Reorder the terms: -12 + -2 + 4v = -4(-5v + 1) + -4v Combine like terms: -12 + -2 = -14 -14 + 4v = -4(-5v + 1) + -4v Reorder the terms: -14 + 4v = -4(1 + -5v) + -4v -14 + 4v = (1 * -4 + -5v * -4) + -4v -14 + 4v = (-4 + 20v) + -4v Combine like terms: 20v + -4v = 16v -14 + 4v = -4 + 16v Solving -14 + 4v = -4 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -14 + 4v + -16v = -4 + 16v + -16v Combine like terms: 4v + -16v = -12v -14 + -12v = -4 + 16v + -16v Combine like terms: 16v + -16v = 0 -14 + -12v = -4 + 0 -14 + -12v = -4 Add '14' to each side of the equation. -14 + 14 + -12v = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -12v = -4 + 14 -12v = -4 + 14 Combine like terms: -4 + 14 = 10 -12v = 10 Divide each side by '-12'. v = -0.8333333333 Simplifying v = -0.8333333333
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