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Simplifying 5(v + -1) + -3 = -4(-4v + 1) + -5v Reorder the terms: 5(-1 + v) + -3 = -4(-4v + 1) + -5v (-1 * 5 + v * 5) + -3 = -4(-4v + 1) + -5v (-5 + 5v) + -3 = -4(-4v + 1) + -5v Reorder the terms: -5 + -3 + 5v = -4(-4v + 1) + -5v Combine like terms: -5 + -3 = -8 -8 + 5v = -4(-4v + 1) + -5v Reorder the terms: -8 + 5v = -4(1 + -4v) + -5v -8 + 5v = (1 * -4 + -4v * -4) + -5v -8 + 5v = (-4 + 16v) + -5v Combine like terms: 16v + -5v = 11v -8 + 5v = -4 + 11v Solving -8 + 5v = -4 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -8 + 5v + -11v = -4 + 11v + -11v Combine like terms: 5v + -11v = -6v -8 + -6v = -4 + 11v + -11v Combine like terms: 11v + -11v = 0 -8 + -6v = -4 + 0 -8 + -6v = -4 Add '8' to each side of the equation. -8 + 8 + -6v = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -6v = -4 + 8 -6v = -4 + 8 Combine like terms: -4 + 8 = 4 -6v = 4 Divide each side by '-6'. v = -0.6666666667 Simplifying v = -0.6666666667
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