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Simplifying 2(8n + -6) + 7(1 + n) = n + -5 + -6n Reorder the terms: 2(-6 + 8n) + 7(1 + n) = n + -5 + -6n (-6 * 2 + 8n * 2) + 7(1 + n) = n + -5 + -6n (-12 + 16n) + 7(1 + n) = n + -5 + -6n -12 + 16n + (1 * 7 + n * 7) = n + -5 + -6n -12 + 16n + (7 + 7n) = n + -5 + -6n Reorder the terms: -12 + 7 + 16n + 7n = n + -5 + -6n Combine like terms: -12 + 7 = -5 -5 + 16n + 7n = n + -5 + -6n Combine like terms: 16n + 7n = 23n -5 + 23n = n + -5 + -6n Reorder the terms: -5 + 23n = -5 + n + -6n Combine like terms: n + -6n = -5n -5 + 23n = -5 + -5n Add '5' to each side of the equation. -5 + 5 + 23n = -5 + 5 + -5n Combine like terms: -5 + 5 = 0 0 + 23n = -5 + 5 + -5n 23n = -5 + 5 + -5n Combine like terms: -5 + 5 = 0 23n = 0 + -5n 23n = -5n Solving 23n = -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. 23n + 5n = -5n + 5n Combine like terms: 23n + 5n = 28n 28n = -5n + 5n Combine like terms: -5n + 5n = 0 28n = 0 Divide each side by '28'. n = 0 Simplifying n = 0
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