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Simplifying 7n + -11 = 36 + -12n + 10 Reorder the terms: -11 + 7n = 36 + -12n + 10 Reorder the terms: -11 + 7n = 36 + 10 + -12n Combine like terms: 36 + 10 = 46 -11 + 7n = 46 + -12n Solving -11 + 7n = 46 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -11 + 7n + 12n = 46 + -12n + 12n Combine like terms: 7n + 12n = 19n -11 + 19n = 46 + -12n + 12n Combine like terms: -12n + 12n = 0 -11 + 19n = 46 + 0 -11 + 19n = 46 Add '11' to each side of the equation. -11 + 11 + 19n = 46 + 11 Combine like terms: -11 + 11 = 0 0 + 19n = 46 + 11 19n = 46 + 11 Combine like terms: 46 + 11 = 57 19n = 57 Divide each side by '19'. n = 3 Simplifying n = 3
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