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Simplifying 8(2n + 4) = 9(9n + 7) + 2 Reorder the terms: 8(4 + 2n) = 9(9n + 7) + 2 (4 * 8 + 2n * 8) = 9(9n + 7) + 2 (32 + 16n) = 9(9n + 7) + 2 Reorder the terms: 32 + 16n = 9(7 + 9n) + 2 32 + 16n = (7 * 9 + 9n * 9) + 2 32 + 16n = (63 + 81n) + 2 Reorder the terms: 32 + 16n = 63 + 2 + 81n Combine like terms: 63 + 2 = 65 32 + 16n = 65 + 81n Solving 32 + 16n = 65 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 32 + 16n + -81n = 65 + 81n + -81n Combine like terms: 16n + -81n = -65n 32 + -65n = 65 + 81n + -81n Combine like terms: 81n + -81n = 0 32 + -65n = 65 + 0 32 + -65n = 65 Add '-32' to each side of the equation. 32 + -32 + -65n = 65 + -32 Combine like terms: 32 + -32 = 0 0 + -65n = 65 + -32 -65n = 65 + -32 Combine like terms: 65 + -32 = 33 -65n = 33 Divide each side by '-65'. n = -0.5076923077 Simplifying n = -0.5076923077
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