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Simplifying 4(2n + 2) = 9(4n + 8) + 3 Reorder the terms: 4(2 + 2n) = 9(4n + 8) + 3 (2 * 4 + 2n * 4) = 9(4n + 8) + 3 (8 + 8n) = 9(4n + 8) + 3 Reorder the terms: 8 + 8n = 9(8 + 4n) + 3 8 + 8n = (8 * 9 + 4n * 9) + 3 8 + 8n = (72 + 36n) + 3 Reorder the terms: 8 + 8n = 72 + 3 + 36n Combine like terms: 72 + 3 = 75 8 + 8n = 75 + 36n Solving 8 + 8n = 75 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 8 + 8n + -36n = 75 + 36n + -36n Combine like terms: 8n + -36n = -28n 8 + -28n = 75 + 36n + -36n Combine like terms: 36n + -36n = 0 8 + -28n = 75 + 0 8 + -28n = 75 Add '-8' to each side of the equation. 8 + -8 + -28n = 75 + -8 Combine like terms: 8 + -8 = 0 0 + -28n = 75 + -8 -28n = 75 + -8 Combine like terms: 75 + -8 = 67 -28n = 67 Divide each side by '-28'. n = -2.392857143 Simplifying n = -2.392857143
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