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Simplifying 8(2n + 5) = 9(5n + 7) + 2 Reorder the terms: 8(5 + 2n) = 9(5n + 7) + 2 (5 * 8 + 2n * 8) = 9(5n + 7) + 2 (40 + 16n) = 9(5n + 7) + 2 Reorder the terms: 40 + 16n = 9(7 + 5n) + 2 40 + 16n = (7 * 9 + 5n * 9) + 2 40 + 16n = (63 + 45n) + 2 Reorder the terms: 40 + 16n = 63 + 2 + 45n Combine like terms: 63 + 2 = 65 40 + 16n = 65 + 45n Solving 40 + 16n = 65 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 40 + 16n + -45n = 65 + 45n + -45n Combine like terms: 16n + -45n = -29n 40 + -29n = 65 + 45n + -45n Combine like terms: 45n + -45n = 0 40 + -29n = 65 + 0 40 + -29n = 65 Add '-40' to each side of the equation. 40 + -40 + -29n = 65 + -40 Combine like terms: 40 + -40 = 0 0 + -29n = 65 + -40 -29n = 65 + -40 Combine like terms: 65 + -40 = 25 -29n = 25 Divide each side by '-29'. n = -0.8620689655 Simplifying n = -0.8620689655
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