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Simplifying 7(3n + 1) = 8(6n + 4) + 7 Reorder the terms: 7(1 + 3n) = 8(6n + 4) + 7 (1 * 7 + 3n * 7) = 8(6n + 4) + 7 (7 + 21n) = 8(6n + 4) + 7 Reorder the terms: 7 + 21n = 8(4 + 6n) + 7 7 + 21n = (4 * 8 + 6n * 8) + 7 7 + 21n = (32 + 48n) + 7 Reorder the terms: 7 + 21n = 32 + 7 + 48n Combine like terms: 32 + 7 = 39 7 + 21n = 39 + 48n Solving 7 + 21n = 39 + 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 = 39 + 48n + -48n Combine like terms: 21n + -48n = -27n 7 + -27n = 39 + 48n + -48n Combine like terms: 48n + -48n = 0 7 + -27n = 39 + 0 7 + -27n = 39 Add '-7' to each side of the equation. 7 + -7 + -27n = 39 + -7 Combine like terms: 7 + -7 = 0 0 + -27n = 39 + -7 -27n = 39 + -7 Combine like terms: 39 + -7 = 32 -27n = 32 Divide each side by '-27'. n = -1.185185185 Simplifying n = -1.185185185
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