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Simplifying -5(2v + -2) + 6v = 2(v + 7) Reorder the terms: -5(-2 + 2v) + 6v = 2(v + 7) (-2 * -5 + 2v * -5) + 6v = 2(v + 7) (10 + -10v) + 6v = 2(v + 7) Combine like terms: -10v + 6v = -4v 10 + -4v = 2(v + 7) Reorder the terms: 10 + -4v = 2(7 + v) 10 + -4v = (7 * 2 + v * 2) 10 + -4v = (14 + 2v) Solving 10 + -4v = 14 + 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. 10 + -4v + -2v = 14 + 2v + -2v Combine like terms: -4v + -2v = -6v 10 + -6v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + -6v = 14 + 0 10 + -6v = 14 Add '-10' to each side of the equation. 10 + -10 + -6v = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -6v = 14 + -10 -6v = 14 + -10 Combine like terms: 14 + -10 = 4 -6v = 4 Divide each side by '-6'. v = -0.6666666667 Simplifying v = -0.6666666667
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