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Simplifying 8(3n + 3) = 7(8n + 9) + 3 Reorder the terms: 8(3 + 3n) = 7(8n + 9) + 3 (3 * 8 + 3n * 8) = 7(8n + 9) + 3 (24 + 24n) = 7(8n + 9) + 3 Reorder the terms: 24 + 24n = 7(9 + 8n) + 3 24 + 24n = (9 * 7 + 8n * 7) + 3 24 + 24n = (63 + 56n) + 3 Reorder the terms: 24 + 24n = 63 + 3 + 56n Combine like terms: 63 + 3 = 66 24 + 24n = 66 + 56n Solving 24 + 24n = 66 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 24 + 24n + -56n = 66 + 56n + -56n Combine like terms: 24n + -56n = -32n 24 + -32n = 66 + 56n + -56n Combine like terms: 56n + -56n = 0 24 + -32n = 66 + 0 24 + -32n = 66 Add '-24' to each side of the equation. 24 + -24 + -32n = 66 + -24 Combine like terms: 24 + -24 = 0 0 + -32n = 66 + -24 -32n = 66 + -24 Combine like terms: 66 + -24 = 42 -32n = 42 Divide each side by '-32'. n = -1.3125 Simplifying n = -1.3125
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