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Simplifying -8(n + 1) + -1(3 + 8n) = -17n Reorder the terms: -8(1 + n) + -1(3 + 8n) = -17n (1 * -8 + n * -8) + -1(3 + 8n) = -17n (-8 + -8n) + -1(3 + 8n) = -17n -8 + -8n + (3 * -1 + 8n * -1) = -17n -8 + -8n + (-3 + -8n) = -17n Reorder the terms: -8 + -3 + -8n + -8n = -17n Combine like terms: -8 + -3 = -11 -11 + -8n + -8n = -17n Combine like terms: -8n + -8n = -16n -11 + -16n = -17n Solving -11 + -16n = -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. -11 + -16n + 17n = -17n + 17n Combine like terms: -16n + 17n = 1n -11 + 1n = -17n + 17n Combine like terms: -17n + 17n = 0 -11 + 1n = 0 Add '11' to each side of the equation. -11 + 11 + 1n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1n = 0 + 11 1n = 0 + 11 Combine like terms: 0 + 11 = 11 1n = 11 Divide each side by '1'. n = 11 Simplifying n = 11
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