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Simplifying -46 = -5(v + 6) + -1(-2v + 4) Reorder the terms: -46 = -5(6 + v) + -1(-2v + 4) -46 = (6 * -5 + v * -5) + -1(-2v + 4) -46 = (-30 + -5v) + -1(-2v + 4) Reorder the terms: -46 = -30 + -5v + -1(4 + -2v) -46 = -30 + -5v + (4 * -1 + -2v * -1) -46 = -30 + -5v + (-4 + 2v) Reorder the terms: -46 = -30 + -4 + -5v + 2v Combine like terms: -30 + -4 = -34 -46 = -34 + -5v + 2v Combine like terms: -5v + 2v = -3v -46 = -34 + -3v Solving -46 = -34 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -46 + 3v = -34 + -3v + 3v Combine like terms: -3v + 3v = 0 -46 + 3v = -34 + 0 -46 + 3v = -34 Add '46' to each side of the equation. -46 + 46 + 3v = -34 + 46 Combine like terms: -46 + 46 = 0 0 + 3v = -34 + 46 3v = -34 + 46 Combine like terms: -34 + 46 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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