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Simplifying 3(n + -6) = -2(2n + -5) Reorder the terms: 3(-6 + n) = -2(2n + -5) (-6 * 3 + n * 3) = -2(2n + -5) (-18 + 3n) = -2(2n + -5) Reorder the terms: -18 + 3n = -2(-5 + 2n) -18 + 3n = (-5 * -2 + 2n * -2) -18 + 3n = (10 + -4n) Solving -18 + 3n = 10 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -18 + 3n + 4n = 10 + -4n + 4n Combine like terms: 3n + 4n = 7n -18 + 7n = 10 + -4n + 4n Combine like terms: -4n + 4n = 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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