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Simplifying 2(-1 + 5v) = 8v + -16 (-1 * 2 + 5v * 2) = 8v + -16 (-2 + 10v) = 8v + -16 Reorder the terms: -2 + 10v = -16 + 8v Solving -2 + 10v = -16 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -2 + 10v + -8v = -16 + 8v + -8v Combine like terms: 10v + -8v = 2v -2 + 2v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 -2 + 2v = -16 + 0 -2 + 2v = -16 Add '2' to each side of the equation. -2 + 2 + 2v = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = -16 + 2 2v = -16 + 2 Combine like terms: -16 + 2 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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