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Simplifying -9(3v + -3) = -12v + -1(5v + -7) Reorder the terms: -9(-3 + 3v) = -12v + -1(5v + -7) (-3 * -9 + 3v * -9) = -12v + -1(5v + -7) (27 + -27v) = -12v + -1(5v + -7) Reorder the terms: 27 + -27v = -12v + -1(-7 + 5v) 27 + -27v = -12v + (-7 * -1 + 5v * -1) 27 + -27v = -12v + (7 + -5v) Reorder the terms: 27 + -27v = 7 + -12v + -5v Combine like terms: -12v + -5v = -17v 27 + -27v = 7 + -17v Solving 27 + -27v = 7 + -17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '17v' to each side of the equation. 27 + -27v + 17v = 7 + -17v + 17v Combine like terms: -27v + 17v = -10v 27 + -10v = 7 + -17v + 17v Combine like terms: -17v + 17v = 0 27 + -10v = 7 + 0 27 + -10v = 7 Add '-27' to each side of the equation. 27 + -27 + -10v = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -10v = 7 + -27 -10v = 7 + -27 Combine like terms: 7 + -27 = -20 -10v = -20 Divide each side by '-10'. v = 2 Simplifying v = 2
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