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Simplifying 3n + -9n = 3(12 + -8n) + 4(1 + 2n) Combine like terms: 3n + -9n = -6n -6n = 3(12 + -8n) + 4(1 + 2n) -6n = (12 * 3 + -8n * 3) + 4(1 + 2n) -6n = (36 + -24n) + 4(1 + 2n) -6n = 36 + -24n + (1 * 4 + 2n * 4) -6n = 36 + -24n + (4 + 8n) Reorder the terms: -6n = 36 + 4 + -24n + 8n Combine like terms: 36 + 4 = 40 -6n = 40 + -24n + 8n Combine like terms: -24n + 8n = -16n -6n = 40 + -16n Solving -6n = 40 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -6n + 16n = 40 + -16n + 16n Combine like terms: -6n + 16n = 10n 10n = 40 + -16n + 16n Combine like terms: -16n + 16n = 0 10n = 40 + 0 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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