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Simplifying -4(-5v + 3) + -4v = 7(v + -2) + -1 Reorder the terms: -4(3 + -5v) + -4v = 7(v + -2) + -1 (3 * -4 + -5v * -4) + -4v = 7(v + -2) + -1 (-12 + 20v) + -4v = 7(v + -2) + -1 Combine like terms: 20v + -4v = 16v -12 + 16v = 7(v + -2) + -1 Reorder the terms: -12 + 16v = 7(-2 + v) + -1 -12 + 16v = (-2 * 7 + v * 7) + -1 -12 + 16v = (-14 + 7v) + -1 Reorder the terms: -12 + 16v = -14 + -1 + 7v Combine like terms: -14 + -1 = -15 -12 + 16v = -15 + 7v Solving -12 + 16v = -15 + 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 + 16v + -7v = -15 + 7v + -7v Combine like terms: 16v + -7v = 9v -12 + 9v = -15 + 7v + -7v Combine like terms: 7v + -7v = 0 -12 + 9v = -15 + 0 -12 + 9v = -15 Add '12' to each side of the equation. -12 + 12 + 9v = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 9v = -15 + 12 9v = -15 + 12 Combine like terms: -15 + 12 = -3 9v = -3 Divide each side by '9'. v = -0.3333333333 Simplifying v = -0.3333333333
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