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Simplifying 2(v + 5) = -2(7v + -4) + 8v Reorder the terms: 2(5 + v) = -2(7v + -4) + 8v (5 * 2 + v * 2) = -2(7v + -4) + 8v (10 + 2v) = -2(7v + -4) + 8v Reorder the terms: 10 + 2v = -2(-4 + 7v) + 8v 10 + 2v = (-4 * -2 + 7v * -2) + 8v 10 + 2v = (8 + -14v) + 8v Combine like terms: -14v + 8v = -6v 10 + 2v = 8 + -6v Solving 10 + 2v = 8 + -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 + 2v + 6v = 8 + -6v + 6v Combine like terms: 2v + 6v = 8v 10 + 8v = 8 + -6v + 6v Combine like terms: -6v + 6v = 0 10 + 8v = 8 + 0 10 + 8v = 8 Add '-10' to each side of the equation. 10 + -10 + 8v = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 8v = 8 + -10 8v = 8 + -10 Combine like terms: 8 + -10 = -2 8v = -2 Divide each side by '8'. v = -0.25 Simplifying v = -0.25
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