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Simplifying -3(4v + 4) = 2(2v + 14) Reorder the terms: -3(4 + 4v) = 2(2v + 14) (4 * -3 + 4v * -3) = 2(2v + 14) (-12 + -12v) = 2(2v + 14) Reorder the terms: -12 + -12v = 2(14 + 2v) -12 + -12v = (14 * 2 + 2v * 2) -12 + -12v = (28 + 4v) Solving -12 + -12v = 28 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -12 + -12v + -4v = 28 + 4v + -4v Combine like terms: -12v + -4v = -16v -12 + -16v = 28 + 4v + -4v Combine like terms: 4v + -4v = 0 -12 + -16v = 28 + 0 -12 + -16v = 28 Add '12' to each side of the equation. -12 + 12 + -16v = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -16v = 28 + 12 -16v = 28 + 12 Combine like terms: 28 + 12 = 40 -16v = 40 Divide each side by '-16'. v = -2.5 Simplifying v = -2.5
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