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Simplifying 7(3n + 1) = 6(6n + 7) + 5 Reorder the terms: 7(1 + 3n) = 6(6n + 7) + 5 (1 * 7 + 3n * 7) = 6(6n + 7) + 5 (7 + 21n) = 6(6n + 7) + 5 Reorder the terms: 7 + 21n = 6(7 + 6n) + 5 7 + 21n = (7 * 6 + 6n * 6) + 5 7 + 21n = (42 + 36n) + 5 Reorder the terms: 7 + 21n = 42 + 5 + 36n Combine like terms: 42 + 5 = 47 7 + 21n = 47 + 36n Solving 7 + 21n = 47 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 7 + 21n + -36n = 47 + 36n + -36n Combine like terms: 21n + -36n = -15n 7 + -15n = 47 + 36n + -36n Combine like terms: 36n + -36n = 0 7 + -15n = 47 + 0 7 + -15n = 47 Add '-7' to each side of the equation. 7 + -7 + -15n = 47 + -7 Combine like terms: 7 + -7 = 0 0 + -15n = 47 + -7 -15n = 47 + -7 Combine like terms: 47 + -7 = 40 -15n = 40 Divide each side by '-15'. n = -2.666666667 Simplifying n = -2.666666667
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