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Simplifying 4(v + 7) = -2(9v + -9) + 6v Reorder the terms: 4(7 + v) = -2(9v + -9) + 6v (7 * 4 + v * 4) = -2(9v + -9) + 6v (28 + 4v) = -2(9v + -9) + 6v Reorder the terms: 28 + 4v = -2(-9 + 9v) + 6v 28 + 4v = (-9 * -2 + 9v * -2) + 6v 28 + 4v = (18 + -18v) + 6v Combine like terms: -18v + 6v = -12v 28 + 4v = 18 + -12v Solving 28 + 4v = 18 + -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 = 18 + -12v + 12v Combine like terms: 4v + 12v = 16v 28 + 16v = 18 + -12v + 12v Combine like terms: -12v + 12v = 0 28 + 16v = 18 + 0 28 + 16v = 18 Add '-28' to each side of the equation. 28 + -28 + 16v = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 16v = 18 + -28 16v = 18 + -28 Combine like terms: 18 + -28 = -10 16v = -10 Divide each side by '16'. v = -0.625 Simplifying v = -0.625
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