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Simplifying 2(1 + 8n) + -2n = -8(n + 8) (1 * 2 + 8n * 2) + -2n = -8(n + 8) (2 + 16n) + -2n = -8(n + 8) Combine like terms: 16n + -2n = 14n 2 + 14n = -8(n + 8) Reorder the terms: 2 + 14n = -8(8 + n) 2 + 14n = (8 * -8 + n * -8) 2 + 14n = (-64 + -8n) Solving 2 + 14n = -64 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 2 + 14n + 8n = -64 + -8n + 8n Combine like terms: 14n + 8n = 22n 2 + 22n = -64 + -8n + 8n Combine like terms: -8n + 8n = 0 2 + 22n = -64 + 0 2 + 22n = -64 Add '-2' to each side of the equation. 2 + -2 + 22n = -64 + -2 Combine like terms: 2 + -2 = 0 0 + 22n = -64 + -2 22n = -64 + -2 Combine like terms: -64 + -2 = -66 22n = -66 Divide each side by '22'. n = -3 Simplifying n = -3
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