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Simplifying 8(2n + 4) = 9(5n + 4) + 3 Reorder the terms: 8(4 + 2n) = 9(5n + 4) + 3 (4 * 8 + 2n * 8) = 9(5n + 4) + 3 (32 + 16n) = 9(5n + 4) + 3 Reorder the terms: 32 + 16n = 9(4 + 5n) + 3 32 + 16n = (4 * 9 + 5n * 9) + 3 32 + 16n = (36 + 45n) + 3 Reorder the terms: 32 + 16n = 36 + 3 + 45n Combine like terms: 36 + 3 = 39 32 + 16n = 39 + 45n Solving 32 + 16n = 39 + 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. 32 + 16n + -45n = 39 + 45n + -45n Combine like terms: 16n + -45n = -29n 32 + -29n = 39 + 45n + -45n Combine like terms: 45n + -45n = 0 32 + -29n = 39 + 0 32 + -29n = 39 Add '-32' to each side of the equation. 32 + -32 + -29n = 39 + -32 Combine like terms: 32 + -32 = 0 0 + -29n = 39 + -32 -29n = 39 + -32 Combine like terms: 39 + -32 = 7 -29n = 7 Divide each side by '-29'. n = -0.2413793103 Simplifying n = -0.2413793103
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