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Simplifying 3(n + 12) + -5n = 22 Reorder the terms: 3(12 + n) + -5n = 22 (12 * 3 + n * 3) + -5n = 22 (36 + 3n) + -5n = 22 Combine like terms: 3n + -5n = -2n 36 + -2n = 22 Solving 36 + -2n = 22 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -2n = 22 + -36 Combine like terms: 36 + -36 = 0 0 + -2n = 22 + -36 -2n = 22 + -36 Combine like terms: 22 + -36 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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