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Simplifying 31 = -11(3 + -6n) + -2 31 = (3 * -11 + -6n * -11) + -2 31 = (-33 + 66n) + -2 Reorder the terms: 31 = -33 + -2 + 66n Combine like terms: -33 + -2 = -35 31 = -35 + 66n Solving 31 = -35 + 66n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-66n' to each side of the equation. 31 + -66n = -35 + 66n + -66n Combine like terms: 66n + -66n = 0 31 + -66n = -35 + 0 31 + -66n = -35 Add '-31' to each side of the equation. 31 + -31 + -66n = -35 + -31 Combine like terms: 31 + -31 = 0 0 + -66n = -35 + -31 -66n = -35 + -31 Combine like terms: -35 + -31 = -66 -66n = -66 Divide each side by '-66'. n = 1 Simplifying n = 1
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