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Simplifying 3(1 + 3n) = -4(n + -8) + -3 (1 * 3 + 3n * 3) = -4(n + -8) + -3 (3 + 9n) = -4(n + -8) + -3 Reorder the terms: 3 + 9n = -4(-8 + n) + -3 3 + 9n = (-8 * -4 + n * -4) + -3 3 + 9n = (32 + -4n) + -3 Reorder the terms: 3 + 9n = 32 + -3 + -4n Combine like terms: 32 + -3 = 29 3 + 9n = 29 + -4n Solving 3 + 9n = 29 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 3 + 9n + 4n = 29 + -4n + 4n Combine like terms: 9n + 4n = 13n 3 + 13n = 29 + -4n + 4n Combine like terms: -4n + 4n = 0 3 + 13n = 29 + 0 3 + 13n = 29 Add '-3' to each side of the equation. 3 + -3 + 13n = 29 + -3 Combine like terms: 3 + -3 = 0 0 + 13n = 29 + -3 13n = 29 + -3 Combine like terms: 29 + -3 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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