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Simplifying 3(3n + -1y) + 1 = 31 (3n * 3 + -1y * 3) + 1 = 31 (9n + -3y) + 1 = 31 Reorder the terms: 1 + 9n + -3y = 31 Solving 1 + 9n + -3y = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 9n + -1 + -3y = 31 + -1 Reorder the terms: 1 + -1 + 9n + -3y = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 9n + -3y = 31 + -1 9n + -3y = 31 + -1 Combine like terms: 31 + -1 = 30 9n + -3y = 30 Add '3y' to each side of the equation. 9n + -3y + 3y = 30 + 3y Combine like terms: -3y + 3y = 0 9n + 0 = 30 + 3y 9n = 30 + 3y Divide each side by '9'. n = 3.333333333 + 0.3333333333y Simplifying n = 3.333333333 + 0.3333333333y
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