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Simplifying 6(2n + 5) = 6(9n + 7) + 7 Reorder the terms: 6(5 + 2n) = 6(9n + 7) + 7 (5 * 6 + 2n * 6) = 6(9n + 7) + 7 (30 + 12n) = 6(9n + 7) + 7 Reorder the terms: 30 + 12n = 6(7 + 9n) + 7 30 + 12n = (7 * 6 + 9n * 6) + 7 30 + 12n = (42 + 54n) + 7 Reorder the terms: 30 + 12n = 42 + 7 + 54n Combine like terms: 42 + 7 = 49 30 + 12n = 49 + 54n Solving 30 + 12n = 49 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 30 + 12n + -54n = 49 + 54n + -54n Combine like terms: 12n + -54n = -42n 30 + -42n = 49 + 54n + -54n Combine like terms: 54n + -54n = 0 30 + -42n = 49 + 0 30 + -42n = 49 Add '-30' to each side of the equation. 30 + -30 + -42n = 49 + -30 Combine like terms: 30 + -30 = 0 0 + -42n = 49 + -30 -42n = 49 + -30 Combine like terms: 49 + -30 = 19 -42n = 19 Divide each side by '-42'. n = -0.4523809524 Simplifying n = -0.4523809524
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