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Simplifying -6(3 + -2n) = 5(n + -2) (3 * -6 + -2n * -6) = 5(n + -2) (-18 + 12n) = 5(n + -2) Reorder the terms: -18 + 12n = 5(-2 + n) -18 + 12n = (-2 * 5 + n * 5) -18 + 12n = (-10 + 5n) Solving -18 + 12n = -10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -18 + 12n + -5n = -10 + 5n + -5n Combine like terms: 12n + -5n = 7n -18 + 7n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 -18 + 7n = -10 + 0 -18 + 7n = -10 Add '18' to each side of the equation. -18 + 18 + 7n = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 7n = -10 + 18 7n = -10 + 18 Combine like terms: -10 + 18 = 8 7n = 8 Divide each side by '7'. n = 1.142857143 Simplifying n = 1.142857143
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