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Simplifying 11n + -7 = 5(n + 6) Reorder the terms: -7 + 11n = 5(n + 6) Reorder the terms: -7 + 11n = 5(6 + n) -7 + 11n = (6 * 5 + n * 5) -7 + 11n = (30 + 5n) Solving -7 + 11n = 30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -7 + 11n + -5n = 30 + 5n + -5n Combine like terms: 11n + -5n = 6n -7 + 6n = 30 + 5n + -5n Combine like terms: 5n + -5n = 0 -7 + 6n = 30 + 0 -7 + 6n = 30 Add '7' to each side of the equation. -7 + 7 + 6n = 30 + 7 Combine like terms: -7 + 7 = 0 0 + 6n = 30 + 7 6n = 30 + 7 Combine like terms: 30 + 7 = 37 6n = 37 Divide each side by '6'. n = 6.166666667 Simplifying n = 6.166666667
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