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Simplifying 4 + 8(2n + 3) = 4(7 + 8n) + 6n Reorder the terms: 4 + 8(3 + 2n) = 4(7 + 8n) + 6n 4 + (3 * 8 + 2n * 8) = 4(7 + 8n) + 6n 4 + (24 + 16n) = 4(7 + 8n) + 6n Combine like terms: 4 + 24 = 28 28 + 16n = 4(7 + 8n) + 6n 28 + 16n = (7 * 4 + 8n * 4) + 6n 28 + 16n = (28 + 32n) + 6n Combine like terms: 32n + 6n = 38n 28 + 16n = 28 + 38n Add '-28' to each side of the equation. 28 + -28 + 16n = 28 + -28 + 38n Combine like terms: 28 + -28 = 0 0 + 16n = 28 + -28 + 38n 16n = 28 + -28 + 38n Combine like terms: 28 + -28 = 0 16n = 0 + 38n 16n = 38n Solving 16n = 38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38n' to each side of the equation. 16n + -38n = 38n + -38n Combine like terms: 16n + -38n = -22n -22n = 38n + -38n Combine like terms: 38n + -38n = 0 -22n = 0 Divide each side by '-22'. n = 0 Simplifying n = 0
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