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Simplifying 4(v + 8) = -5(3v + -4) + 4v Reorder the terms: 4(8 + v) = -5(3v + -4) + 4v (8 * 4 + v * 4) = -5(3v + -4) + 4v (32 + 4v) = -5(3v + -4) + 4v Reorder the terms: 32 + 4v = -5(-4 + 3v) + 4v 32 + 4v = (-4 * -5 + 3v * -5) + 4v 32 + 4v = (20 + -15v) + 4v Combine like terms: -15v + 4v = -11v 32 + 4v = 20 + -11v Solving 32 + 4v = 20 + -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. 32 + 4v + 11v = 20 + -11v + 11v Combine like terms: 4v + 11v = 15v 32 + 15v = 20 + -11v + 11v Combine like terms: -11v + 11v = 0 32 + 15v = 20 + 0 32 + 15v = 20 Add '-32' to each side of the equation. 32 + -32 + 15v = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 15v = 20 + -32 15v = 20 + -32 Combine like terms: 20 + -32 = -12 15v = -12 Divide each side by '15'. v = -0.8 Simplifying v = -0.8
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