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Simplifying 3(n + 3) = -1(4 + -8n) + 8n Reorder the terms: 3(3 + n) = -1(4 + -8n) + 8n (3 * 3 + n * 3) = -1(4 + -8n) + 8n (9 + 3n) = -1(4 + -8n) + 8n 9 + 3n = (4 * -1 + -8n * -1) + 8n 9 + 3n = (-4 + 8n) + 8n Combine like terms: 8n + 8n = 16n 9 + 3n = -4 + 16n Solving 9 + 3n = -4 + 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. 9 + 3n + -16n = -4 + 16n + -16n Combine like terms: 3n + -16n = -13n 9 + -13n = -4 + 16n + -16n Combine like terms: 16n + -16n = 0 9 + -13n = -4 + 0 9 + -13n = -4 Add '-9' to each side of the equation. 9 + -9 + -13n = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -13n = -4 + -9 -13n = -4 + -9 Combine like terms: -4 + -9 = -13 -13n = -13 Divide each side by '-13'. n = 1 Simplifying n = 1
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