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Simplifying 3(2n + 3) = (7n + 6) + 2 Reorder the terms: 3(3 + 2n) = (7n + 6) + 2 (3 * 3 + 2n * 3) = (7n + 6) + 2 (9 + 6n) = (7n + 6) + 2 Reorder the terms: 9 + 6n = (6 + 7n) + 2 Remove parenthesis around (6 + 7n) 9 + 6n = 6 + 7n + 2 Reorder the terms: 9 + 6n = 6 + 2 + 7n Combine like terms: 6 + 2 = 8 9 + 6n = 8 + 7n Solving 9 + 6n = 8 + 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. 9 + 6n + -7n = 8 + 7n + -7n Combine like terms: 6n + -7n = -1n 9 + -1n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 9 + -1n = 8 + 0 9 + -1n = 8 Add '-9' to each side of the equation. 9 + -9 + -1n = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 8 + -9 -1n = 8 + -9 Combine like terms: 8 + -9 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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