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Simplifying 11v + -2(1 + 8v) = -6(v + -1) 11v + (1 * -2 + 8v * -2) = -6(v + -1) 11v + (-2 + -16v) = -6(v + -1) Reorder the terms: -2 + 11v + -16v = -6(v + -1) Combine like terms: 11v + -16v = -5v -2 + -5v = -6(v + -1) Reorder the terms: -2 + -5v = -6(-1 + v) -2 + -5v = (-1 * -6 + v * -6) -2 + -5v = (6 + -6v) Solving -2 + -5v = 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. -2 + -5v + 6v = 6 + -6v + 6v Combine like terms: -5v + 6v = 1v -2 + 1v = 6 + -6v + 6v Combine like terms: -6v + 6v = 0 -2 + 1v = 6 + 0 -2 + 1v = 6 Add '2' to each side of the equation. -2 + 2 + 1v = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1v = 6 + 2 1v = 6 + 2 Combine like terms: 6 + 2 = 8 1v = 8 Divide each side by '1'. v = 8 Simplifying v = 8
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