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Simplifying -5(4v + -2) + 2v = -6(v + 1) Reorder the terms: -5(-2 + 4v) + 2v = -6(v + 1) (-2 * -5 + 4v * -5) + 2v = -6(v + 1) (10 + -20v) + 2v = -6(v + 1) Combine like terms: -20v + 2v = -18v 10 + -18v = -6(v + 1) Reorder the terms: 10 + -18v = -6(1 + v) 10 + -18v = (1 * -6 + v * -6) 10 + -18v = (-6 + -6v) Solving 10 + -18v = -6 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 10 + -18v + 6v = -6 + -6v + 6v Combine like terms: -18v + 6v = -12v 10 + -12v = -6 + -6v + 6v Combine like terms: -6v + 6v = 0 10 + -12v = -6 + 0 10 + -12v = -6 Add '-10' to each side of the equation. 10 + -10 + -12v = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -12v = -6 + -10 -12v = -6 + -10 Combine like terms: -6 + -10 = -16 -12v = -16 Divide each side by '-12'. v = 1.333333333 Simplifying v = 1.333333333
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