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Simplifying 4(n + n + 3) + 1 = 9(n + 2) Reorder the terms: 4(3 + n + n) + 1 = 9(n + 2) Combine like terms: n + n = 2n 4(3 + 2n) + 1 = 9(n + 2) (3 * 4 + 2n * 4) + 1 = 9(n + 2) (12 + 8n) + 1 = 9(n + 2) Reorder the terms: 12 + 1 + 8n = 9(n + 2) Combine like terms: 12 + 1 = 13 13 + 8n = 9(n + 2) Reorder the terms: 13 + 8n = 9(2 + n) 13 + 8n = (2 * 9 + n * 9) 13 + 8n = (18 + 9n) Solving 13 + 8n = 18 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 13 + 8n + -9n = 18 + 9n + -9n Combine like terms: 8n + -9n = -1n 13 + -1n = 18 + 9n + -9n Combine like terms: 9n + -9n = 0 13 + -1n = 18 + 0 13 + -1n = 18 Add '-13' to each side of the equation. 13 + -13 + -1n = 18 + -13 Combine like terms: 13 + -13 = 0 0 + -1n = 18 + -13 -1n = 18 + -13 Combine like terms: 18 + -13 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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