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Simplifying -6 + 2(-5 + 8n) = 7n + 11 -6 + (-5 * 2 + 8n * 2) = 7n + 11 -6 + (-10 + 16n) = 7n + 11 Combine like terms: -6 + -10 = -16 -16 + 16n = 7n + 11 Reorder the terms: -16 + 16n = 11 + 7n Solving -16 + 16n = 11 + 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. -16 + 16n + -7n = 11 + 7n + -7n Combine like terms: 16n + -7n = 9n -16 + 9n = 11 + 7n + -7n Combine like terms: 7n + -7n = 0 -16 + 9n = 11 + 0 -16 + 9n = 11 Add '16' to each side of the equation. -16 + 16 + 9n = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 9n = 11 + 16 9n = 11 + 16 Combine like terms: 11 + 16 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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