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Simplifying 4(v + 6) = -3(5v + -4) + 4v Reorder the terms: 4(6 + v) = -3(5v + -4) + 4v (6 * 4 + v * 4) = -3(5v + -4) + 4v (24 + 4v) = -3(5v + -4) + 4v Reorder the terms: 24 + 4v = -3(-4 + 5v) + 4v 24 + 4v = (-4 * -3 + 5v * -3) + 4v 24 + 4v = (12 + -15v) + 4v Combine like terms: -15v + 4v = -11v 24 + 4v = 12 + -11v Solving 24 + 4v = 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. 24 + 4v + 11v = 12 + -11v + 11v Combine like terms: 4v + 11v = 15v 24 + 15v = 12 + -11v + 11v Combine like terms: -11v + 11v = 0 24 + 15v = 12 + 0 24 + 15v = 12 Add '-24' to each side of the equation. 24 + -24 + 15v = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 15v = 12 + -24 15v = 12 + -24 Combine like terms: 12 + -24 = -12 15v = -12 Divide each side by '15'. v = -0.8 Simplifying v = -0.8
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