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Simplifying 4(2n + 3) = 1 + -9(n + 2) Reorder the terms: 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 + 8n = 1 + -9(2 + n) 12 + 8n = 1 + (2 * -9 + n * -9) 12 + 8n = 1 + (-18 + -9n) Combine like terms: 1 + -18 = -17 12 + 8n = -17 + -9n Solving 12 + 8n = -17 + -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. 12 + 8n + 9n = -17 + -9n + 9n Combine like terms: 8n + 9n = 17n 12 + 17n = -17 + -9n + 9n Combine like terms: -9n + 9n = 0 12 + 17n = -17 + 0 12 + 17n = -17 Add '-12' to each side of the equation. 12 + -12 + 17n = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 17n = -17 + -12 17n = -17 + -12 Combine like terms: -17 + -12 = -29 17n = -29 Divide each side by '17'. n = -1.705882353 Simplifying n = -1.705882353
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