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Simplifying 5v + -17 = 3(v + -9) Reorder the terms: -17 + 5v = 3(v + -9) Reorder the terms: -17 + 5v = 3(-9 + v) -17 + 5v = (-9 * 3 + v * 3) -17 + 5v = (-27 + 3v) Solving -17 + 5v = -27 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -17 + 5v + -3v = -27 + 3v + -3v Combine like terms: 5v + -3v = 2v -17 + 2v = -27 + 3v + -3v Combine like terms: 3v + -3v = 0 -17 + 2v = -27 + 0 -17 + 2v = -27 Add '17' to each side of the equation. -17 + 17 + 2v = -27 + 17 Combine like terms: -17 + 17 = 0 0 + 2v = -27 + 17 2v = -27 + 17 Combine like terms: -27 + 17 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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