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Simplifying 4(v + 7) = -2(8v + -5) + 4v Reorder the terms: 4(7 + v) = -2(8v + -5) + 4v (7 * 4 + v * 4) = -2(8v + -5) + 4v (28 + 4v) = -2(8v + -5) + 4v Reorder the terms: 28 + 4v = -2(-5 + 8v) + 4v 28 + 4v = (-5 * -2 + 8v * -2) + 4v 28 + 4v = (10 + -16v) + 4v Combine like terms: -16v + 4v = -12v 28 + 4v = 10 + -12v Solving 28 + 4v = 10 + -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 = 10 + -12v + 12v Combine like terms: 4v + 12v = 16v 28 + 16v = 10 + -12v + 12v Combine like terms: -12v + 12v = 0 28 + 16v = 10 + 0 28 + 16v = 10 Add '-28' to each side of the equation. 28 + -28 + 16v = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 16v = 10 + -28 16v = 10 + -28 Combine like terms: 10 + -28 = -18 16v = -18 Divide each side by '16'. v = -1.125 Simplifying v = -1.125
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