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Simplifying 7v + -4(v + -9) = 4(5v + 9) Reorder the terms: 7v + -4(-9 + v) = 4(5v + 9) 7v + (-9 * -4 + v * -4) = 4(5v + 9) 7v + (36 + -4v) = 4(5v + 9) Reorder the terms: 36 + 7v + -4v = 4(5v + 9) Combine like terms: 7v + -4v = 3v 36 + 3v = 4(5v + 9) Reorder the terms: 36 + 3v = 4(9 + 5v) 36 + 3v = (9 * 4 + 5v * 4) 36 + 3v = (36 + 20v) Add '-36' to each side of the equation. 36 + -36 + 3v = 36 + -36 + 20v Combine like terms: 36 + -36 = 0 0 + 3v = 36 + -36 + 20v 3v = 36 + -36 + 20v Combine like terms: 36 + -36 = 0 3v = 0 + 20v 3v = 20v Solving 3v = 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. 3v + -20v = 20v + -20v Combine like terms: 3v + -20v = -17v -17v = 20v + -20v Combine like terms: 20v + -20v = 0 -17v = 0 Divide each side by '-17'. v = 0 Simplifying v = 0
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