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Simplifying 4(4n + 6) = -5n + -2(1 + -4n) Reorder the terms: 4(6 + 4n) = -5n + -2(1 + -4n) (6 * 4 + 4n * 4) = -5n + -2(1 + -4n) (24 + 16n) = -5n + -2(1 + -4n) 24 + 16n = -5n + (1 * -2 + -4n * -2) 24 + 16n = -5n + (-2 + 8n) Reorder the terms: 24 + 16n = -2 + -5n + 8n Combine like terms: -5n + 8n = 3n 24 + 16n = -2 + 3n Solving 24 + 16n = -2 + 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. 24 + 16n + -3n = -2 + 3n + -3n Combine like terms: 16n + -3n = 13n 24 + 13n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 24 + 13n = -2 + 0 24 + 13n = -2 Add '-24' to each side of the equation. 24 + -24 + 13n = -2 + -24 Combine like terms: 24 + -24 = 0 0 + 13n = -2 + -24 13n = -2 + -24 Combine like terms: -2 + -24 = -26 13n = -26 Divide each side by '13'. n = -2 Simplifying n = -2
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