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Simplifying 4(v + 9) = 6v + 24 Reorder the terms: 4(9 + v) = 6v + 24 (9 * 4 + v * 4) = 6v + 24 (36 + 4v) = 6v + 24 Reorder the terms: 36 + 4v = 24 + 6v Solving 36 + 4v = 24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 36 + 4v + -6v = 24 + 6v + -6v Combine like terms: 4v + -6v = -2v 36 + -2v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 36 + -2v = 24 + 0 36 + -2v = 24 Add '-36' to each side of the equation. 36 + -36 + -2v = 24 + -36 Combine like terms: 36 + -36 = 0 0 + -2v = 24 + -36 -2v = 24 + -36 Combine like terms: 24 + -36 = -12 -2v = -12 Divide each side by '-2'. v = 6 Simplifying v = 6
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