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Simplifying 2(2v + 14) = -3(4v + 14) Reorder the terms: 2(14 + 2v) = -3(4v + 14) (14 * 2 + 2v * 2) = -3(4v + 14) (28 + 4v) = -3(4v + 14) Reorder the terms: 28 + 4v = -3(14 + 4v) 28 + 4v = (14 * -3 + 4v * -3) 28 + 4v = (-42 + -12v) Solving 28 + 4v = -42 + -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. 28 + 4v + 12v = -42 + -12v + 12v Combine like terms: 4v + 12v = 16v 28 + 16v = -42 + -12v + 12v Combine like terms: -12v + 12v = 0 28 + 16v = -42 + 0 28 + 16v = -42 Add '-28' to each side of the equation. 28 + -28 + 16v = -42 + -28 Combine like terms: 28 + -28 = 0 0 + 16v = -42 + -28 16v = -42 + -28 Combine like terms: -42 + -28 = -70 16v = -70 Divide each side by '16'. v = -4.375 Simplifying v = -4.375
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