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Simplifying 6(3n + 2) = -8(n + 8) + -2 Reorder the terms: 6(2 + 3n) = -8(n + 8) + -2 (2 * 6 + 3n * 6) = -8(n + 8) + -2 (12 + 18n) = -8(n + 8) + -2 Reorder the terms: 12 + 18n = -8(8 + n) + -2 12 + 18n = (8 * -8 + n * -8) + -2 12 + 18n = (-64 + -8n) + -2 Reorder the terms: 12 + 18n = -64 + -2 + -8n Combine like terms: -64 + -2 = -66 12 + 18n = -66 + -8n Solving 12 + 18n = -66 + -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. 12 + 18n + 8n = -66 + -8n + 8n Combine like terms: 18n + 8n = 26n 12 + 26n = -66 + -8n + 8n Combine like terms: -8n + 8n = 0 12 + 26n = -66 + 0 12 + 26n = -66 Add '-12' to each side of the equation. 12 + -12 + 26n = -66 + -12 Combine like terms: 12 + -12 = 0 0 + 26n = -66 + -12 26n = -66 + -12 Combine like terms: -66 + -12 = -78 26n = -78 Divide each side by '26'. n = -3 Simplifying n = -3
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