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Simplifying 4(v + 6) = -3(6v + -5) + 7v Reorder the terms: 4(6 + v) = -3(6v + -5) + 7v (6 * 4 + v * 4) = -3(6v + -5) + 7v (24 + 4v) = -3(6v + -5) + 7v Reorder the terms: 24 + 4v = -3(-5 + 6v) + 7v 24 + 4v = (-5 * -3 + 6v * -3) + 7v 24 + 4v = (15 + -18v) + 7v Combine like terms: -18v + 7v = -11v 24 + 4v = 15 + -11v Solving 24 + 4v = 15 + -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 = 15 + -11v + 11v Combine like terms: 4v + 11v = 15v 24 + 15v = 15 + -11v + 11v Combine like terms: -11v + 11v = 0 24 + 15v = 15 + 0 24 + 15v = 15 Add '-24' to each side of the equation. 24 + -24 + 15v = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 15v = 15 + -24 15v = 15 + -24 Combine like terms: 15 + -24 = -9 15v = -9 Divide each side by '15'. v = -0.6 Simplifying v = -0.6
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