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Simplifying -8v + 4(1 + 5v) = -6v + -14 -8v + (1 * 4 + 5v * 4) = -6v + -14 -8v + (4 + 20v) = -6v + -14 Reorder the terms: 4 + -8v + 20v = -6v + -14 Combine like terms: -8v + 20v = 12v 4 + 12v = -6v + -14 Reorder the terms: 4 + 12v = -14 + -6v Solving 4 + 12v = -14 + -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. 4 + 12v + 6v = -14 + -6v + 6v Combine like terms: 12v + 6v = 18v 4 + 18v = -14 + -6v + 6v Combine like terms: -6v + 6v = 0 4 + 18v = -14 + 0 4 + 18v = -14 Add '-4' to each side of the equation. 4 + -4 + 18v = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 18v = -14 + -4 18v = -14 + -4 Combine like terms: -14 + -4 = -18 18v = -18 Divide each side by '18'. v = -1 Simplifying v = -1
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