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Simplifying 6(3v + 1) = 5(2v + -2) Reorder the terms: 6(1 + 3v) = 5(2v + -2) (1 * 6 + 3v * 6) = 5(2v + -2) (6 + 18v) = 5(2v + -2) Reorder the terms: 6 + 18v = 5(-2 + 2v) 6 + 18v = (-2 * 5 + 2v * 5) 6 + 18v = (-10 + 10v) Solving 6 + 18v = -10 + 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. 6 + 18v + -10v = -10 + 10v + -10v Combine like terms: 18v + -10v = 8v 6 + 8v = -10 + 10v + -10v Combine like terms: 10v + -10v = 0 6 + 8v = -10 + 0 6 + 8v = -10 Add '-6' to each side of the equation. 6 + -6 + 8v = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 8v = -10 + -6 8v = -10 + -6 Combine like terms: -10 + -6 = -16 8v = -16 Divide each side by '8'. v = -2 Simplifying v = -2
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