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Simplifying 7v + -24 = 2(v + 3) Reorder the terms: -24 + 7v = 2(v + 3) Reorder the terms: -24 + 7v = 2(3 + v) -24 + 7v = (3 * 2 + v * 2) -24 + 7v = (6 + 2v) Solving -24 + 7v = 6 + 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 + 7v + -2v = 6 + 2v + -2v Combine like terms: 7v + -2v = 5v -24 + 5v = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 -24 + 5v = 6 + 0 -24 + 5v = 6 Add '24' to each side of the equation. -24 + 24 + 5v = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 5v = 6 + 24 5v = 6 + 24 Combine like terms: 6 + 24 = 30 5v = 30 Divide each side by '5'. v = 6 Simplifying v = 6
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