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Simplifying 7n + -1(2n + -9) = 10n + -2(n + 12) Reorder the terms: 7n + -1(-9 + 2n) = 10n + -2(n + 12) 7n + (-9 * -1 + 2n * -1) = 10n + -2(n + 12) 7n + (9 + -2n) = 10n + -2(n + 12) Reorder the terms: 9 + 7n + -2n = 10n + -2(n + 12) Combine like terms: 7n + -2n = 5n 9 + 5n = 10n + -2(n + 12) Reorder the terms: 9 + 5n = 10n + -2(12 + n) 9 + 5n = 10n + (12 * -2 + n * -2) 9 + 5n = 10n + (-24 + -2n) Reorder the terms: 9 + 5n = -24 + 10n + -2n Combine like terms: 10n + -2n = 8n 9 + 5n = -24 + 8n Solving 9 + 5n = -24 + 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. 9 + 5n + -8n = -24 + 8n + -8n Combine like terms: 5n + -8n = -3n 9 + -3n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 9 + -3n = -24 + 0 9 + -3n = -24 Add '-9' to each side of the equation. 9 + -9 + -3n = -24 + -9 Combine like terms: 9 + -9 = 0 0 + -3n = -24 + -9 -3n = -24 + -9 Combine like terms: -24 + -9 = -33 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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