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Simplifying 12n + 22 = 15n + 13 Reorder the terms: 22 + 12n = 15n + 13 Reorder the terms: 22 + 12n = 13 + 15n Solving 22 + 12n = 13 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 22 + 12n + -15n = 13 + 15n + -15n Combine like terms: 12n + -15n = -3n 22 + -3n = 13 + 15n + -15n Combine like terms: 15n + -15n = 0 22 + -3n = 13 + 0 22 + -3n = 13 Add '-22' to each side of the equation. 22 + -22 + -3n = 13 + -22 Combine like terms: 22 + -22 = 0 0 + -3n = 13 + -22 -3n = 13 + -22 Combine like terms: 13 + -22 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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