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Simplifying 6(v + 4) = 9v + 36 Reorder the terms: 6(4 + v) = 9v + 36 (4 * 6 + v * 6) = 9v + 36 (24 + 6v) = 9v + 36 Reorder the terms: 24 + 6v = 36 + 9v Solving 24 + 6v = 36 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 24 + 6v + -9v = 36 + 9v + -9v Combine like terms: 6v + -9v = -3v 24 + -3v = 36 + 9v + -9v Combine like terms: 9v + -9v = 0 24 + -3v = 36 + 0 24 + -3v = 36 Add '-24' to each side of the equation. 24 + -24 + -3v = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -3v = 36 + -24 -3v = 36 + -24 Combine like terms: 36 + -24 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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