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Simplifying 5(v + 4) = -2(7v + -6) + 3v Reorder the terms: 5(4 + v) = -2(7v + -6) + 3v (4 * 5 + v * 5) = -2(7v + -6) + 3v (20 + 5v) = -2(7v + -6) + 3v Reorder the terms: 20 + 5v = -2(-6 + 7v) + 3v 20 + 5v = (-6 * -2 + 7v * -2) + 3v 20 + 5v = (12 + -14v) + 3v Combine like terms: -14v + 3v = -11v 20 + 5v = 12 + -11v Solving 20 + 5v = 12 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 20 + 5v + 11v = 12 + -11v + 11v Combine like terms: 5v + 11v = 16v 20 + 16v = 12 + -11v + 11v Combine like terms: -11v + 11v = 0 20 + 16v = 12 + 0 20 + 16v = 12 Add '-20' to each side of the equation. 20 + -20 + 16v = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 16v = 12 + -20 16v = 12 + -20 Combine like terms: 12 + -20 = -8 16v = -8 Divide each side by '16'. v = -0.5 Simplifying v = -0.5
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