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Simplifying -3(-4v + 5) + -4v = 2(v + -7) + -4 Reorder the terms: -3(5 + -4v) + -4v = 2(v + -7) + -4 (5 * -3 + -4v * -3) + -4v = 2(v + -7) + -4 (-15 + 12v) + -4v = 2(v + -7) + -4 Combine like terms: 12v + -4v = 8v -15 + 8v = 2(v + -7) + -4 Reorder the terms: -15 + 8v = 2(-7 + v) + -4 -15 + 8v = (-7 * 2 + v * 2) + -4 -15 + 8v = (-14 + 2v) + -4 Reorder the terms: -15 + 8v = -14 + -4 + 2v Combine like terms: -14 + -4 = -18 -15 + 8v = -18 + 2v Solving -15 + 8v = -18 + 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. -15 + 8v + -2v = -18 + 2v + -2v Combine like terms: 8v + -2v = 6v -15 + 6v = -18 + 2v + -2v Combine like terms: 2v + -2v = 0 -15 + 6v = -18 + 0 -15 + 6v = -18 Add '15' to each side of the equation. -15 + 15 + 6v = -18 + 15 Combine like terms: -15 + 15 = 0 0 + 6v = -18 + 15 6v = -18 + 15 Combine like terms: -18 + 15 = -3 6v = -3 Divide each side by '6'. v = -0.5 Simplifying v = -0.5
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