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Simplifying v + -9 + 2(5v + 3) = -5(v + 1) Reorder the terms: v + -9 + 2(3 + 5v) = -5(v + 1) v + -9 + (3 * 2 + 5v * 2) = -5(v + 1) v + -9 + (6 + 10v) = -5(v + 1) Reorder the terms: -9 + 6 + v + 10v = -5(v + 1) Combine like terms: -9 + 6 = -3 -3 + v + 10v = -5(v + 1) Combine like terms: v + 10v = 11v -3 + 11v = -5(v + 1) Reorder the terms: -3 + 11v = -5(1 + v) -3 + 11v = (1 * -5 + v * -5) -3 + 11v = (-5 + -5v) Solving -3 + 11v = -5 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -3 + 11v + 5v = -5 + -5v + 5v Combine like terms: 11v + 5v = 16v -3 + 16v = -5 + -5v + 5v Combine like terms: -5v + 5v = 0 -3 + 16v = -5 + 0 -3 + 16v = -5 Add '3' to each side of the equation. -3 + 3 + 16v = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 16v = -5 + 3 16v = -5 + 3 Combine like terms: -5 + 3 = -2 16v = -2 Divide each side by '16'. v = -0.125 Simplifying v = -0.125
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