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Simplifying -8(n + -3) + 6n = 5n + -11 Reorder the terms: -8(-3 + n) + 6n = 5n + -11 (-3 * -8 + n * -8) + 6n = 5n + -11 (24 + -8n) + 6n = 5n + -11 Combine like terms: -8n + 6n = -2n 24 + -2n = 5n + -11 Reorder the terms: 24 + -2n = -11 + 5n Solving 24 + -2n = -11 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 24 + -2n + -5n = -11 + 5n + -5n Combine like terms: -2n + -5n = -7n 24 + -7n = -11 + 5n + -5n Combine like terms: 5n + -5n = 0 24 + -7n = -11 + 0 24 + -7n = -11 Add '-24' to each side of the equation. 24 + -24 + -7n = -11 + -24 Combine like terms: 24 + -24 = 0 0 + -7n = -11 + -24 -7n = -11 + -24 Combine like terms: -11 + -24 = -35 -7n = -35 Divide each side by '-7'. n = 5 Simplifying n = 5
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