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Simplifying -3(v + 1) = 8v + -14 Reorder the terms: -3(1 + v) = 8v + -14 (1 * -3 + v * -3) = 8v + -14 (-3 + -3v) = 8v + -14 Reorder the terms: -3 + -3v = -14 + 8v Solving -3 + -3v = -14 + 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. -3 + -3v + -8v = -14 + 8v + -8v Combine like terms: -3v + -8v = -11v -3 + -11v = -14 + 8v + -8v Combine like terms: 8v + -8v = 0 -3 + -11v = -14 + 0 -3 + -11v = -14 Add '3' to each side of the equation. -3 + 3 + -11v = -14 + 3 Combine like terms: -3 + 3 = 0 0 + -11v = -14 + 3 -11v = -14 + 3 Combine like terms: -14 + 3 = -11 -11v = -11 Divide each side by '-11'. v = 1 Simplifying v = 1
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