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Simplifying 6v + 24 = -4(7 + 5v) Reorder the terms: 24 + 6v = -4(7 + 5v) 24 + 6v = (7 * -4 + 5v * -4) 24 + 6v = (-28 + -20v) Solving 24 + 6v = -28 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 24 + 6v + 20v = -28 + -20v + 20v Combine like terms: 6v + 20v = 26v 24 + 26v = -28 + -20v + 20v Combine like terms: -20v + 20v = 0 24 + 26v = -28 + 0 24 + 26v = -28 Add '-24' to each side of the equation. 24 + -24 + 26v = -28 + -24 Combine like terms: 24 + -24 = 0 0 + 26v = -28 + -24 26v = -28 + -24 Combine like terms: -28 + -24 = -52 26v = -52 Divide each side by '26'. v = -2 Simplifying v = -2
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