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Simplifying 6(5 + -2v) = -1v + 19 (5 * 6 + -2v * 6) = -1v + 19 (30 + -12v) = -1v + 19 Reorder the terms: 30 + -12v = 19 + -1v Solving 30 + -12v = 19 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 30 + -12v + v = 19 + -1v + v Combine like terms: -12v + v = -11v 30 + -11v = 19 + -1v + v Combine like terms: -1v + v = 0 30 + -11v = 19 + 0 30 + -11v = 19 Add '-30' to each side of the equation. 30 + -30 + -11v = 19 + -30 Combine like terms: 30 + -30 = 0 0 + -11v = 19 + -30 -11v = 19 + -30 Combine like terms: 19 + -30 = -11 -11v = -11 Divide each side by '-11'. v = 1 Simplifying v = 1
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