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Simplifying 7(3n + 1) = 8(6n + 7) + 9 Reorder the terms: 7(1 + 3n) = 8(6n + 7) + 9 (1 * 7 + 3n * 7) = 8(6n + 7) + 9 (7 + 21n) = 8(6n + 7) + 9 Reorder the terms: 7 + 21n = 8(7 + 6n) + 9 7 + 21n = (7 * 8 + 6n * 8) + 9 7 + 21n = (56 + 48n) + 9 Reorder the terms: 7 + 21n = 56 + 9 + 48n Combine like terms: 56 + 9 = 65 7 + 21n = 65 + 48n Solving 7 + 21n = 65 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 7 + 21n + -48n = 65 + 48n + -48n Combine like terms: 21n + -48n = -27n 7 + -27n = 65 + 48n + -48n Combine like terms: 48n + -48n = 0 7 + -27n = 65 + 0 7 + -27n = 65 Add '-7' to each side of the equation. 7 + -7 + -27n = 65 + -7 Combine like terms: 7 + -7 = 0 0 + -27n = 65 + -7 -27n = 65 + -7 Combine like terms: 65 + -7 = 58 -27n = 58 Divide each side by '-27'. n = -2.148148148 Simplifying n = -2.148148148
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