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Simplifying 24 + 7v = -2(4v + 3) Reorder the terms: 24 + 7v = -2(3 + 4v) 24 + 7v = (3 * -2 + 4v * -2) 24 + 7v = (-6 + -8v) Solving 24 + 7v = -6 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 24 + 7v + 8v = -6 + -8v + 8v Combine like terms: 7v + 8v = 15v 24 + 15v = -6 + -8v + 8v Combine like terms: -8v + 8v = 0 24 + 15v = -6 + 0 24 + 15v = -6 Add '-24' to each side of the equation. 24 + -24 + 15v = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 15v = -6 + -24 15v = -6 + -24 Combine like terms: -6 + -24 = -30 15v = -30 Divide each side by '15'. v = -2 Simplifying v = -2
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