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Simplifying 8v + 2 + -2(-5v + -3) = 2(v + -5) Reorder the terms: 8v + 2 + -2(-3 + -5v) = 2(v + -5) 8v + 2 + (-3 * -2 + -5v * -2) = 2(v + -5) 8v + 2 + (6 + 10v) = 2(v + -5) Reorder the terms: 2 + 6 + 8v + 10v = 2(v + -5) Combine like terms: 2 + 6 = 8 8 + 8v + 10v = 2(v + -5) Combine like terms: 8v + 10v = 18v 8 + 18v = 2(v + -5) Reorder the terms: 8 + 18v = 2(-5 + v) 8 + 18v = (-5 * 2 + v * 2) 8 + 18v = (-10 + 2v) Solving 8 + 18v = -10 + 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 + 18v + -2v = -10 + 2v + -2v Combine like terms: 18v + -2v = 16v 8 + 16v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 16v = -10 + 0 8 + 16v = -10 Add '-8' to each side of the equation. 8 + -8 + 16v = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 16v = -10 + -8 16v = -10 + -8 Combine like terms: -10 + -8 = -18 16v = -18 Divide each side by '16'. v = -1.125 Simplifying v = -1.125
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