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Simplifying -3(n + 8) + -7(8 + 2n) = -1n + -8n Reorder the terms: -3(8 + n) + -7(8 + 2n) = -1n + -8n (8 * -3 + n * -3) + -7(8 + 2n) = -1n + -8n (-24 + -3n) + -7(8 + 2n) = -1n + -8n -24 + -3n + (8 * -7 + 2n * -7) = -1n + -8n -24 + -3n + (-56 + -14n) = -1n + -8n Reorder the terms: -24 + -56 + -3n + -14n = -1n + -8n Combine like terms: -24 + -56 = -80 -80 + -3n + -14n = -1n + -8n Combine like terms: -3n + -14n = -17n -80 + -17n = -1n + -8n Combine like terms: -1n + -8n = -9n -80 + -17n = -9n Solving -80 + -17n = -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -80 + -17n + 9n = -9n + 9n Combine like terms: -17n + 9n = -8n -80 + -8n = -9n + 9n Combine like terms: -9n + 9n = 0 -80 + -8n = 0 Add '80' to each side of the equation. -80 + 80 + -8n = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -8n = 0 + 80 -8n = 0 + 80 Combine like terms: 0 + 80 = 80 -8n = 80 Divide each side by '-8'. n = -10 Simplifying n = -10
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