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Simplifying 7(3n + 1) = 8(7n + 6) + 6 Reorder the terms: 7(1 + 3n) = 8(7n + 6) + 6 (1 * 7 + 3n * 7) = 8(7n + 6) + 6 (7 + 21n) = 8(7n + 6) + 6 Reorder the terms: 7 + 21n = 8(6 + 7n) + 6 7 + 21n = (6 * 8 + 7n * 8) + 6 7 + 21n = (48 + 56n) + 6 Reorder the terms: 7 + 21n = 48 + 6 + 56n Combine like terms: 48 + 6 = 54 7 + 21n = 54 + 56n Solving 7 + 21n = 54 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 7 + 21n + -56n = 54 + 56n + -56n Combine like terms: 21n + -56n = -35n 7 + -35n = 54 + 56n + -56n Combine like terms: 56n + -56n = 0 7 + -35n = 54 + 0 7 + -35n = 54 Add '-7' to each side of the equation. 7 + -7 + -35n = 54 + -7 Combine like terms: 7 + -7 = 0 0 + -35n = 54 + -7 -35n = 54 + -7 Combine like terms: 54 + -7 = 47 -35n = 47 Divide each side by '-35'. n = -1.342857143 Simplifying n = -1.342857143
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