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Simplifying -3v + -1(3v + -5) = -3v + -1 Reorder the terms: -3v + -1(-5 + 3v) = -3v + -1 -3v + (-5 * -1 + 3v * -1) = -3v + -1 -3v + (5 + -3v) = -3v + -1 Reorder the terms: 5 + -3v + -3v = -3v + -1 Combine like terms: -3v + -3v = -6v 5 + -6v = -3v + -1 Reorder the terms: 5 + -6v = -1 + -3v Solving 5 + -6v = -1 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 5 + -6v + 3v = -1 + -3v + 3v Combine like terms: -6v + 3v = -3v 5 + -3v = -1 + -3v + 3v Combine like terms: -3v + 3v = 0 5 + -3v = -1 + 0 5 + -3v = -1 Add '-5' to each side of the equation. 5 + -5 + -3v = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = -1 + -5 -3v = -1 + -5 Combine like terms: -1 + -5 = -6 -3v = -6 Divide each side by '-3'. v = 2 Simplifying v = 2
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