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Simplifying 4(v + 3) = -2(8v + -9) + 4v Reorder the terms: 4(3 + v) = -2(8v + -9) + 4v (3 * 4 + v * 4) = -2(8v + -9) + 4v (12 + 4v) = -2(8v + -9) + 4v Reorder the terms: 12 + 4v = -2(-9 + 8v) + 4v 12 + 4v = (-9 * -2 + 8v * -2) + 4v 12 + 4v = (18 + -16v) + 4v Combine like terms: -16v + 4v = -12v 12 + 4v = 18 + -12v Solving 12 + 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. 12 + 4v + 12v = 18 + -12v + 12v Combine like terms: 4v + 12v = 16v 12 + 16v = 18 + -12v + 12v Combine like terms: -12v + 12v = 0 12 + 16v = 18 + 0 12 + 16v = 18 Add '-12' to each side of the equation. 12 + -12 + 16v = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 16v = 18 + -12 16v = 18 + -12 Combine like terms: 18 + -12 = 6 16v = 6 Divide each side by '16'. v = 0.375 Simplifying v = 0.375
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