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Simplifying -3(-6v + -1) = -5(-4 + -2v) + -1 Reorder the terms: -3(-1 + -6v) = -5(-4 + -2v) + -1 (-1 * -3 + -6v * -3) = -5(-4 + -2v) + -1 (3 + 18v) = -5(-4 + -2v) + -1 3 + 18v = (-4 * -5 + -2v * -5) + -1 3 + 18v = (20 + 10v) + -1 Reorder the terms: 3 + 18v = 20 + -1 + 10v Combine like terms: 20 + -1 = 19 3 + 18v = 19 + 10v Solving 3 + 18v = 19 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 3 + 18v + -10v = 19 + 10v + -10v Combine like terms: 18v + -10v = 8v 3 + 8v = 19 + 10v + -10v Combine like terms: 10v + -10v = 0 3 + 8v = 19 + 0 3 + 8v = 19 Add '-3' to each side of the equation. 3 + -3 + 8v = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8v = 19 + -3 8v = 19 + -3 Combine like terms: 19 + -3 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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