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Simplifying 7(2n + 3) = 9(6n + 3) + 3 Reorder the terms: 7(3 + 2n) = 9(6n + 3) + 3 (3 * 7 + 2n * 7) = 9(6n + 3) + 3 (21 + 14n) = 9(6n + 3) + 3 Reorder the terms: 21 + 14n = 9(3 + 6n) + 3 21 + 14n = (3 * 9 + 6n * 9) + 3 21 + 14n = (27 + 54n) + 3 Reorder the terms: 21 + 14n = 27 + 3 + 54n Combine like terms: 27 + 3 = 30 21 + 14n = 30 + 54n Solving 21 + 14n = 30 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 21 + 14n + -54n = 30 + 54n + -54n Combine like terms: 14n + -54n = -40n 21 + -40n = 30 + 54n + -54n Combine like terms: 54n + -54n = 0 21 + -40n = 30 + 0 21 + -40n = 30 Add '-21' to each side of the equation. 21 + -21 + -40n = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -40n = 30 + -21 -40n = 30 + -21 Combine like terms: 30 + -21 = 9 -40n = 9 Divide each side by '-40'. n = -0.225 Simplifying n = -0.225
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