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Simplifying 3(7 + 3n) + -5 = 31 + -6n (7 * 3 + 3n * 3) + -5 = 31 + -6n (21 + 9n) + -5 = 31 + -6n Reorder the terms: 21 + -5 + 9n = 31 + -6n Combine like terms: 21 + -5 = 16 16 + 9n = 31 + -6n Solving 16 + 9n = 31 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 16 + 9n + 6n = 31 + -6n + 6n Combine like terms: 9n + 6n = 15n 16 + 15n = 31 + -6n + 6n Combine like terms: -6n + 6n = 0 16 + 15n = 31 + 0 16 + 15n = 31 Add '-16' to each side of the equation. 16 + -16 + 15n = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 15n = 31 + -16 15n = 31 + -16 Combine like terms: 31 + -16 = 15 15n = 15 Divide each side by '15'. n = 1 Simplifying n = 1
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