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Simplifying 4v + 24 = -5(v + -8) + 7v Reorder the terms: 24 + 4v = -5(v + -8) + 7v Reorder the terms: 24 + 4v = -5(-8 + v) + 7v 24 + 4v = (-8 * -5 + v * -5) + 7v 24 + 4v = (40 + -5v) + 7v Combine like terms: -5v + 7v = 2v 24 + 4v = 40 + 2v Solving 24 + 4v = 40 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 24 + 4v + -2v = 40 + 2v + -2v Combine like terms: 4v + -2v = 2v 24 + 2v = 40 + 2v + -2v Combine like terms: 2v + -2v = 0 24 + 2v = 40 + 0 24 + 2v = 40 Add '-24' to each side of the equation. 24 + -24 + 2v = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 2v = 40 + -24 2v = 40 + -24 Combine like terms: 40 + -24 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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