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Simplifying -3(7v + -2) + 9v = -2(v + 4) Reorder the terms: -3(-2 + 7v) + 9v = -2(v + 4) (-2 * -3 + 7v * -3) + 9v = -2(v + 4) (6 + -21v) + 9v = -2(v + 4) Combine like terms: -21v + 9v = -12v 6 + -12v = -2(v + 4) Reorder the terms: 6 + -12v = -2(4 + v) 6 + -12v = (4 * -2 + v * -2) 6 + -12v = (-8 + -2v) Solving 6 + -12v = -8 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 6 + -12v + 2v = -8 + -2v + 2v Combine like terms: -12v + 2v = -10v 6 + -10v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + -10v = -8 + 0 6 + -10v = -8 Add '-6' to each side of the equation. 6 + -6 + -10v = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -10v = -8 + -6 -10v = -8 + -6 Combine like terms: -8 + -6 = -14 -10v = -14 Divide each side by '-10'. v = 1.4 Simplifying v = 1.4
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