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