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Simplifying 3(8 + -2n) + -7 = n + 31 (8 * 3 + -2n * 3) + -7 = n + 31 (24 + -6n) + -7 = n + 31 Reorder the terms: 24 + -7 + -6n = n + 31 Combine like terms: 24 + -7 = 17 17 + -6n = n + 31 Reorder the terms: 17 + -6n = 31 + n Solving 17 + -6n = 31 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 17 + -6n + -1n = 31 + n + -1n Combine like terms: -6n + -1n = -7n 17 + -7n = 31 + n + -1n Combine like terms: n + -1n = 0 17 + -7n = 31 + 0 17 + -7n = 31 Add '-17' to each side of the equation. 17 + -17 + -7n = 31 + -17 Combine like terms: 17 + -17 = 0 0 + -7n = 31 + -17 -7n = 31 + -17 Combine like terms: 31 + -17 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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