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Simplifying 4(2n + 3) = 6(9n + 8) + 7 Reorder the terms: 4(3 + 2n) = 6(9n + 8) + 7 (3 * 4 + 2n * 4) = 6(9n + 8) + 7 (12 + 8n) = 6(9n + 8) + 7 Reorder the terms: 12 + 8n = 6(8 + 9n) + 7 12 + 8n = (8 * 6 + 9n * 6) + 7 12 + 8n = (48 + 54n) + 7 Reorder the terms: 12 + 8n = 48 + 7 + 54n Combine like terms: 48 + 7 = 55 12 + 8n = 55 + 54n Solving 12 + 8n = 55 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 12 + 8n + -54n = 55 + 54n + -54n Combine like terms: 8n + -54n = -46n 12 + -46n = 55 + 54n + -54n Combine like terms: 54n + -54n = 0 12 + -46n = 55 + 0 12 + -46n = 55 Add '-12' to each side of the equation. 12 + -12 + -46n = 55 + -12 Combine like terms: 12 + -12 = 0 0 + -46n = 55 + -12 -46n = 55 + -12 Combine like terms: 55 + -12 = 43 -46n = 43 Divide each side by '-46'. n = -0.9347826087 Simplifying n = -0.9347826087
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