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Simplifying -4(-5v + 3) + -1v = 7(v + -1) + -1 Reorder the terms: -4(3 + -5v) + -1v = 7(v + -1) + -1 (3 * -4 + -5v * -4) + -1v = 7(v + -1) + -1 (-12 + 20v) + -1v = 7(v + -1) + -1 Combine like terms: 20v + -1v = 19v -12 + 19v = 7(v + -1) + -1 Reorder the terms: -12 + 19v = 7(-1 + v) + -1 -12 + 19v = (-1 * 7 + v * 7) + -1 -12 + 19v = (-7 + 7v) + -1 Reorder the terms: -12 + 19v = -7 + -1 + 7v Combine like terms: -7 + -1 = -8 -12 + 19v = -8 + 7v Solving -12 + 19v = -8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -12 + 19v + -7v = -8 + 7v + -7v Combine like terms: 19v + -7v = 12v -12 + 12v = -8 + 7v + -7v Combine like terms: 7v + -7v = 0 -12 + 12v = -8 + 0 -12 + 12v = -8 Add '12' to each side of the equation. -12 + 12 + 12v = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 12v = -8 + 12 12v = -8 + 12 Combine like terms: -8 + 12 = 4 12v = 4 Divide each side by '12'. v = 0.3333333333 Simplifying v = 0.3333333333
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