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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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