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Simplifying -9(3v + -3) = -12v + -1(5x + -7) Reorder the terms: -9(-3 + 3v) = -12v + -1(5x + -7) (-3 * -9 + 3v * -9) = -12v + -1(5x + -7) (27 + -27v) = -12v + -1(5x + -7) Reorder the terms: 27 + -27v = -12v + -1(-7 + 5x) 27 + -27v = -12v + (-7 * -1 + 5x * -1) 27 + -27v = -12v + (7 + -5x) Reorder the terms: 27 + -27v = 7 + -12v + -5x Solving 27 + -27v = 7 + -12v + -5x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 27 + -27v + 12v = 7 + -12v + 12v + -5x Combine like terms: -27v + 12v = -15v 27 + -15v = 7 + -12v + 12v + -5x Combine like terms: -12v + 12v = 0 27 + -15v = 7 + 0 + -5x 27 + -15v = 7 + -5x Add '-27' to each side of the equation. 27 + -27 + -15v = 7 + -27 + -5x Combine like terms: 27 + -27 = 0 0 + -15v = 7 + -27 + -5x -15v = 7 + -27 + -5x Combine like terms: 7 + -27 = -20 -15v = -20 + -5x Divide each side by '-15'. v = 1.333333333 + 0.3333333333x Simplifying v = 1.333333333 + 0.3333333333x
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