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Simplifying 4(v + 14) = -12(v + 4) Reorder the terms: 4(14 + v) = -12(v + 4) (14 * 4 + v * 4) = -12(v + 4) (56 + 4v) = -12(v + 4) Reorder the terms: 56 + 4v = -12(4 + v) 56 + 4v = (4 * -12 + v * -12) 56 + 4v = (-48 + -12v) Solving 56 + 4v = -48 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 56 + 4v + 12v = -48 + -12v + 12v Combine like terms: 4v + 12v = 16v 56 + 16v = -48 + -12v + 12v Combine like terms: -12v + 12v = 0 56 + 16v = -48 + 0 56 + 16v = -48 Add '-56' to each side of the equation. 56 + -56 + 16v = -48 + -56 Combine like terms: 56 + -56 = 0 0 + 16v = -48 + -56 16v = -48 + -56 Combine like terms: -48 + -56 = -104 16v = -104 Divide each side by '16'. v = -6.5 Simplifying v = -6.5
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