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Simplifying 24 = 6(v + 7) + -4v Reorder the terms: 24 = 6(7 + v) + -4v 24 = (7 * 6 + v * 6) + -4v 24 = (42 + 6v) + -4v Combine like terms: 6v + -4v = 2v 24 = 42 + 2v Solving 24 = 42 + 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 + -2v = 42 + 2v + -2v Combine like terms: 2v + -2v = 0 24 + -2v = 42 + 0 24 + -2v = 42 Add '-24' to each side of the equation. 24 + -24 + -2v = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = 42 + -24 -2v = 42 + -24 Combine like terms: 42 + -24 = 18 -2v = 18 Divide each side by '-2'. v = -9 Simplifying v = -9
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