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Simplifying 6(-3v + 17) = 5(-2v + -2) Reorder the terms: 6(17 + -3v) = 5(-2v + -2) (17 * 6 + -3v * 6) = 5(-2v + -2) (102 + -18v) = 5(-2v + -2) Reorder the terms: 102 + -18v = 5(-2 + -2v) 102 + -18v = (-2 * 5 + -2v * 5) 102 + -18v = (-10 + -10v) Solving 102 + -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. 102 + -18v + 10v = -10 + -10v + 10v Combine like terms: -18v + 10v = -8v 102 + -8v = -10 + -10v + 10v Combine like terms: -10v + 10v = 0 102 + -8v = -10 + 0 102 + -8v = -10 Add '-102' to each side of the equation. 102 + -102 + -8v = -10 + -102 Combine like terms: 102 + -102 = 0 0 + -8v = -10 + -102 -8v = -10 + -102 Combine like terms: -10 + -102 = -112 -8v = -112 Divide each side by '-8'. v = 14 Simplifying v = 14
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