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Simplifying 5(v + -1) = 2(v + -4) + -6 Reorder the terms: 5(-1 + v) = 2(v + -4) + -6 (-1 * 5 + v * 5) = 2(v + -4) + -6 (-5 + 5v) = 2(v + -4) + -6 Reorder the terms: -5 + 5v = 2(-4 + v) + -6 -5 + 5v = (-4 * 2 + v * 2) + -6 -5 + 5v = (-8 + 2v) + -6 Reorder the terms: -5 + 5v = -8 + -6 + 2v Combine like terms: -8 + -6 = -14 -5 + 5v = -14 + 2v Solving -5 + 5v = -14 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -5 + 5v + -2v = -14 + 2v + -2v Combine like terms: 5v + -2v = 3v -5 + 3v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -5 + 3v = -14 + 0 -5 + 3v = -14 Add '5' to each side of the equation. -5 + 5 + 3v = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = -14 + 5 3v = -14 + 5 Combine like terms: -14 + 5 = -9 3v = -9 Divide each side by '3'. v = -3 Simplifying v = -3
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