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Simplifying 3(3 + 8n) + -2(n + -8) = n + -5 + 6n (3 * 3 + 8n * 3) + -2(n + -8) = n + -5 + 6n (9 + 24n) + -2(n + -8) = n + -5 + 6n Reorder the terms: 9 + 24n + -2(-8 + n) = n + -5 + 6n 9 + 24n + (-8 * -2 + n * -2) = n + -5 + 6n 9 + 24n + (16 + -2n) = n + -5 + 6n Reorder the terms: 9 + 16 + 24n + -2n = n + -5 + 6n Combine like terms: 9 + 16 = 25 25 + 24n + -2n = n + -5 + 6n Combine like terms: 24n + -2n = 22n 25 + 22n = n + -5 + 6n Reorder the terms: 25 + 22n = -5 + n + 6n Combine like terms: n + 6n = 7n 25 + 22n = -5 + 7n Solving 25 + 22n = -5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 25 + 22n + -7n = -5 + 7n + -7n Combine like terms: 22n + -7n = 15n 25 + 15n = -5 + 7n + -7n Combine like terms: 7n + -7n = 0 25 + 15n = -5 + 0 25 + 15n = -5 Add '-25' to each side of the equation. 25 + -25 + 15n = -5 + -25 Combine like terms: 25 + -25 = 0 0 + 15n = -5 + -25 15n = -5 + -25 Combine like terms: -5 + -25 = -30 15n = -30 Divide each side by '15'. n = -2 Simplifying n = -2
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