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Simplifying 5(n + 6) = 2 + -3(n + -4) Reorder the terms: 5(6 + n) = 2 + -3(n + -4) (6 * 5 + n * 5) = 2 + -3(n + -4) (30 + 5n) = 2 + -3(n + -4) Reorder the terms: 30 + 5n = 2 + -3(-4 + n) 30 + 5n = 2 + (-4 * -3 + n * -3) 30 + 5n = 2 + (12 + -3n) Combine like terms: 2 + 12 = 14 30 + 5n = 14 + -3n Solving 30 + 5n = 14 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 30 + 5n + 3n = 14 + -3n + 3n Combine like terms: 5n + 3n = 8n 30 + 8n = 14 + -3n + 3n Combine like terms: -3n + 3n = 0 30 + 8n = 14 + 0 30 + 8n = 14 Add '-30' to each side of the equation. 30 + -30 + 8n = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 8n = 14 + -30 8n = 14 + -30 Combine like terms: 14 + -30 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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