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Simplifying 7 + -12(3 + n) = 31 7 + (3 * -12 + n * -12) = 31 7 + (-36 + -12n) = 31 Combine like terms: 7 + -36 = -29 -29 + -12n = 31 Solving -29 + -12n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -12n = 31 + 29 Combine like terms: -29 + 29 = 0 0 + -12n = 31 + 29 -12n = 31 + 29 Combine like terms: 31 + 29 = 60 -12n = 60 Divide each side by '-12'. n = -5 Simplifying n = -5
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