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Simplifying 7(2n + 1) = 8(9n + 4) + 4 Reorder the terms: 7(1 + 2n) = 8(9n + 4) + 4 (1 * 7 + 2n * 7) = 8(9n + 4) + 4 (7 + 14n) = 8(9n + 4) + 4 Reorder the terms: 7 + 14n = 8(4 + 9n) + 4 7 + 14n = (4 * 8 + 9n * 8) + 4 7 + 14n = (32 + 72n) + 4 Reorder the terms: 7 + 14n = 32 + 4 + 72n Combine like terms: 32 + 4 = 36 7 + 14n = 36 + 72n Solving 7 + 14n = 36 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 7 + 14n + -72n = 36 + 72n + -72n Combine like terms: 14n + -72n = -58n 7 + -58n = 36 + 72n + -72n Combine like terms: 72n + -72n = 0 7 + -58n = 36 + 0 7 + -58n = 36 Add '-7' to each side of the equation. 7 + -7 + -58n = 36 + -7 Combine like terms: 7 + -7 = 0 0 + -58n = 36 + -7 -58n = 36 + -7 Combine like terms: 36 + -7 = 29 -58n = 29 Divide each side by '-58'. n = -0.5 Simplifying n = -0.5
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