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Simplifying 2(n + 6) = 5(n + -3) Reorder the terms: 2(6 + n) = 5(n + -3) (6 * 2 + n * 2) = 5(n + -3) (12 + 2n) = 5(n + -3) Reorder the terms: 12 + 2n = 5(-3 + n) 12 + 2n = (-3 * 5 + n * 5) 12 + 2n = (-15 + 5n) Solving 12 + 2n = -15 + 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. 12 + 2n + -5n = -15 + 5n + -5n Combine like terms: 2n + -5n = -3n 12 + -3n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + -3n = -15 + 0 12 + -3n = -15 Add '-12' to each side of the equation. 12 + -12 + -3n = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = -15 + -12 -3n = -15 + -12 Combine like terms: -15 + -12 = -27 -3n = -27 Divide each side by '-3'. n = 9 Simplifying n = 9
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