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Simplifying 6(-1v + 3) = -1(v + 2) Reorder the terms: 6(3 + -1v) = -1(v + 2) (3 * 6 + -1v * 6) = -1(v + 2) (18 + -6v) = -1(v + 2) Reorder the terms: 18 + -6v = -1(2 + v) 18 + -6v = (2 * -1 + v * -1) 18 + -6v = (-2 + -1v) Solving 18 + -6v = -2 + -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. 18 + -6v + v = -2 + -1v + v Combine like terms: -6v + v = -5v 18 + -5v = -2 + -1v + v Combine like terms: -1v + v = 0 18 + -5v = -2 + 0 18 + -5v = -2 Add '-18' to each side of the equation. 18 + -18 + -5v = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -5v = -2 + -18 -5v = -2 + -18 Combine like terms: -2 + -18 = -20 -5v = -20 Divide each side by '-5'. v = 4 Simplifying v = 4
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