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Simplifying -2(5v + -4) + 2v = -2(v + 1) Reorder the terms: -2(-4 + 5v) + 2v = -2(v + 1) (-4 * -2 + 5v * -2) + 2v = -2(v + 1) (8 + -10v) + 2v = -2(v + 1) Combine like terms: -10v + 2v = -8v 8 + -8v = -2(v + 1) Reorder the terms: 8 + -8v = -2(1 + v) 8 + -8v = (1 * -2 + v * -2) 8 + -8v = (-2 + -2v) Solving 8 + -8v = -2 + -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. 8 + -8v + 2v = -2 + -2v + 2v Combine like terms: -8v + 2v = -6v 8 + -6v = -2 + -2v + 2v Combine like terms: -2v + 2v = 0 8 + -6v = -2 + 0 8 + -6v = -2 Add '-8' to each side of the equation. 8 + -8 + -6v = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -6v = -2 + -8 -6v = -2 + -8 Combine like terms: -2 + -8 = -10 -6v = -10 Divide each side by '-6'. v = 1.666666667 Simplifying v = 1.666666667
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