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Simplifying 6(2n + 5) = 8(5n + 7) + 7 Reorder the terms: 6(5 + 2n) = 8(5n + 7) + 7 (5 * 6 + 2n * 6) = 8(5n + 7) + 7 (30 + 12n) = 8(5n + 7) + 7 Reorder the terms: 30 + 12n = 8(7 + 5n) + 7 30 + 12n = (7 * 8 + 5n * 8) + 7 30 + 12n = (56 + 40n) + 7 Reorder the terms: 30 + 12n = 56 + 7 + 40n Combine like terms: 56 + 7 = 63 30 + 12n = 63 + 40n Solving 30 + 12n = 63 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 30 + 12n + -40n = 63 + 40n + -40n Combine like terms: 12n + -40n = -28n 30 + -28n = 63 + 40n + -40n Combine like terms: 40n + -40n = 0 30 + -28n = 63 + 0 30 + -28n = 63 Add '-30' to each side of the equation. 30 + -30 + -28n = 63 + -30 Combine like terms: 30 + -30 = 0 0 + -28n = 63 + -30 -28n = 63 + -30 Combine like terms: 63 + -30 = 33 -28n = 33 Divide each side by '-28'. n = -1.178571429 Simplifying n = -1.178571429
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