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Simplifying -8 + 8(n + 6) = 8(3n + 1) Reorder the terms: -8 + 8(6 + n) = 8(3n + 1) -8 + (6 * 8 + n * 8) = 8(3n + 1) -8 + (48 + 8n) = 8(3n + 1) Combine like terms: -8 + 48 = 40 40 + 8n = 8(3n + 1) Reorder the terms: 40 + 8n = 8(1 + 3n) 40 + 8n = (1 * 8 + 3n * 8) 40 + 8n = (8 + 24n) Solving 40 + 8n = 8 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 40 + 8n + -24n = 8 + 24n + -24n Combine like terms: 8n + -24n = -16n 40 + -16n = 8 + 24n + -24n Combine like terms: 24n + -24n = 0 40 + -16n = 8 + 0 40 + -16n = 8 Add '-40' to each side of the equation. 40 + -40 + -16n = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -16n = 8 + -40 -16n = 8 + -40 Combine like terms: 8 + -40 = -32 -16n = -32 Divide each side by '-16'. n = 2 Simplifying n = 2
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