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Simplifying 3n + 9n = -1(-8n + 8) + 4(10 + 2n) Combine like terms: 3n + 9n = 12n 12n = -1(-8n + 8) + 4(10 + 2n) Reorder the terms: 12n = -1(8 + -8n) + 4(10 + 2n) 12n = (8 * -1 + -8n * -1) + 4(10 + 2n) 12n = (-8 + 8n) + 4(10 + 2n) 12n = -8 + 8n + (10 * 4 + 2n * 4) 12n = -8 + 8n + (40 + 8n) Reorder the terms: 12n = -8 + 40 + 8n + 8n Combine like terms: -8 + 40 = 32 12n = 32 + 8n + 8n Combine like terms: 8n + 8n = 16n 12n = 32 + 16n Solving 12n = 32 + 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. 12n + -16n = 32 + 16n + -16n Combine like terms: 12n + -16n = -4n -4n = 32 + 16n + -16n Combine like terms: 16n + -16n = 0 -4n = 32 + 0 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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