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Simplifying 7(2n + 3) = 6(9n + 3) + 8 Reorder the terms: 7(3 + 2n) = 6(9n + 3) + 8 (3 * 7 + 2n * 7) = 6(9n + 3) + 8 (21 + 14n) = 6(9n + 3) + 8 Reorder the terms: 21 + 14n = 6(3 + 9n) + 8 21 + 14n = (3 * 6 + 9n * 6) + 8 21 + 14n = (18 + 54n) + 8 Reorder the terms: 21 + 14n = 18 + 8 + 54n Combine like terms: 18 + 8 = 26 21 + 14n = 26 + 54n Solving 21 + 14n = 26 + 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 = 26 + 54n + -54n Combine like terms: 14n + -54n = -40n 21 + -40n = 26 + 54n + -54n Combine like terms: 54n + -54n = 0 21 + -40n = 26 + 0 21 + -40n = 26 Add '-21' to each side of the equation. 21 + -21 + -40n = 26 + -21 Combine like terms: 21 + -21 = 0 0 + -40n = 26 + -21 -40n = 26 + -21 Combine like terms: 26 + -21 = 5 -40n = 5 Divide each side by '-40'. n = -0.125 Simplifying n = -0.125
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