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Simplifying 4(v + 6) = -2(7v + -7) + 3v Reorder the terms: 4(6 + v) = -2(7v + -7) + 3v (6 * 4 + v * 4) = -2(7v + -7) + 3v (24 + 4v) = -2(7v + -7) + 3v Reorder the terms: 24 + 4v = -2(-7 + 7v) + 3v 24 + 4v = (-7 * -2 + 7v * -2) + 3v 24 + 4v = (14 + -14v) + 3v Combine like terms: -14v + 3v = -11v 24 + 4v = 14 + -11v Solving 24 + 4v = 14 + -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. 24 + 4v + 11v = 14 + -11v + 11v Combine like terms: 4v + 11v = 15v 24 + 15v = 14 + -11v + 11v Combine like terms: -11v + 11v = 0 24 + 15v = 14 + 0 24 + 15v = 14 Add '-24' to each side of the equation. 24 + -24 + 15v = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 15v = 14 + -24 15v = 14 + -24 Combine like terms: 14 + -24 = -10 15v = -10 Divide each side by '15'. v = -0.6666666667 Simplifying v = -0.6666666667
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