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Simplifying -3(v + 1) = -8v + -13 Reorder the terms: -3(1 + v) = -8v + -13 (1 * -3 + v * -3) = -8v + -13 (-3 + -3v) = -8v + -13 Reorder the terms: -3 + -3v = -13 + -8v Solving -3 + -3v = -13 + -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 = -13 + -8v + 8v Combine like terms: -3v + 8v = 5v -3 + 5v = -13 + -8v + 8v Combine like terms: -8v + 8v = 0 -3 + 5v = -13 + 0 -3 + 5v = -13 Add '3' to each side of the equation. -3 + 3 + 5v = -13 + 3 Combine like terms: -3 + 3 = 0 0 + 5v = -13 + 3 5v = -13 + 3 Combine like terms: -13 + 3 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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