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Simplifying 7n + 7 = -13 + 8n + 3n Reorder the terms: 7 + 7n = -13 + 8n + 3n Combine like terms: 8n + 3n = 11n 7 + 7n = -13 + 11n Solving 7 + 7n = -13 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 7 + 7n + -11n = -13 + 11n + -11n Combine like terms: 7n + -11n = -4n 7 + -4n = -13 + 11n + -11n Combine like terms: 11n + -11n = 0 7 + -4n = -13 + 0 7 + -4n = -13 Add '-7' to each side of the equation. 7 + -7 + -4n = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = -13 + -7 -4n = -13 + -7 Combine like terms: -13 + -7 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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