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Simplifying 3(4n + -6) = -5(-1n + -2) Reorder the terms: 3(-6 + 4n) = -5(-1n + -2) (-6 * 3 + 4n * 3) = -5(-1n + -2) (-18 + 12n) = -5(-1n + -2) Reorder the terms: -18 + 12n = -5(-2 + -1n) -18 + 12n = (-2 * -5 + -1n * -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 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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