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Simplifying 6(v + 1) = 5(-2v + -2) Reorder the terms: 6(1 + v) = 5(-2v + -2) (1 * 6 + v * 6) = 5(-2v + -2) (6 + 6v) = 5(-2v + -2) Reorder the terms: 6 + 6v = 5(-2 + -2v) 6 + 6v = (-2 * 5 + -2v * 5) 6 + 6v = (-10 + -10v) Solving 6 + 6v = -10 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 6 + 6v + 10v = -10 + -10v + 10v Combine like terms: 6v + 10v = 16v 6 + 16v = -10 + -10v + 10v Combine like terms: -10v + 10v = 0 6 + 16v = -10 + 0 6 + 16v = -10 Add '-6' to each side of the equation. 6 + -6 + 16v = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 16v = -10 + -6 16v = -10 + -6 Combine like terms: -10 + -6 = -16 16v = -16 Divide each side by '16'. v = -1 Simplifying v = -1
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