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Simplifying 3(8 + 2n) = -16n + 2 (8 * 3 + 2n * 3) = -16n + 2 (24 + 6n) = -16n + 2 Reorder the terms: 24 + 6n = 2 + -16n Solving 24 + 6n = 2 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 24 + 6n + 16n = 2 + -16n + 16n Combine like terms: 6n + 16n = 22n 24 + 22n = 2 + -16n + 16n Combine like terms: -16n + 16n = 0 24 + 22n = 2 + 0 24 + 22n = 2 Add '-24' to each side of the equation. 24 + -24 + 22n = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 22n = 2 + -24 22n = 2 + -24 Combine like terms: 2 + -24 = -22 22n = -22 Divide each side by '22'. n = -1 Simplifying n = -1
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