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Simplifying 9n + -3 = 7(n + 3) + 2 Reorder the terms: -3 + 9n = 7(n + 3) + 2 Reorder the terms: -3 + 9n = 7(3 + n) + 2 -3 + 9n = (3 * 7 + n * 7) + 2 -3 + 9n = (21 + 7n) + 2 Reorder the terms: -3 + 9n = 21 + 2 + 7n Combine like terms: 21 + 2 = 23 -3 + 9n = 23 + 7n Solving -3 + 9n = 23 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -3 + 9n + -7n = 23 + 7n + -7n Combine like terms: 9n + -7n = 2n -3 + 2n = 23 + 7n + -7n Combine like terms: 7n + -7n = 0 -3 + 2n = 23 + 0 -3 + 2n = 23 Add '3' to each side of the equation. -3 + 3 + 2n = 23 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 23 + 3 2n = 23 + 3 Combine like terms: 23 + 3 = 26 2n = 26 Divide each side by '2'. n = 13 Simplifying n = 13
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