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Simplifying 12(n + 3) + -1(n + -7) = 12 Reorder the terms: 12(3 + n) + -1(n + -7) = 12 (3 * 12 + n * 12) + -1(n + -7) = 12 (36 + 12n) + -1(n + -7) = 12 Reorder the terms: 36 + 12n + -1(-7 + n) = 12 36 + 12n + (-7 * -1 + n * -1) = 12 36 + 12n + (7 + -1n) = 12 Reorder the terms: 36 + 7 + 12n + -1n = 12 Combine like terms: 36 + 7 = 43 43 + 12n + -1n = 12 Combine like terms: 12n + -1n = 11n 43 + 11n = 12 Solving 43 + 11n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 11n = 12 + -43 Combine like terms: 43 + -43 = 0 0 + 11n = 12 + -43 11n = 12 + -43 Combine like terms: 12 + -43 = -31 11n = -31 Divide each side by '11'. n = -2.818181818 Simplifying n = -2.818181818
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