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Simplifying -3(n + -7) + -8n = -3 + -7n Reorder the terms: -3(-7 + n) + -8n = -3 + -7n (-7 * -3 + n * -3) + -8n = -3 + -7n (21 + -3n) + -8n = -3 + -7n Combine like terms: -3n + -8n = -11n 21 + -11n = -3 + -7n Solving 21 + -11n = -3 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 21 + -11n + 7n = -3 + -7n + 7n Combine like terms: -11n + 7n = -4n 21 + -4n = -3 + -7n + 7n Combine like terms: -7n + 7n = 0 21 + -4n = -3 + 0 21 + -4n = -3 Add '-21' to each side of the equation. 21 + -21 + -4n = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -4n = -3 + -21 -4n = -3 + -21 Combine like terms: -3 + -21 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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