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Simplifying 6n + 5(1 + -6n) = 2(1 + -13) + 13 6n + (1 * 5 + -6n * 5) = 2(1 + -13) + 13 6n + (5 + -30n) = 2(1 + -13) + 13 Reorder the terms: 5 + 6n + -30n = 2(1 + -13) + 13 Combine like terms: 6n + -30n = -24n 5 + -24n = 2(1 + -13) + 13 Combine like terms: 1 + -13 = -12 5 + -24n = 2(-12) + 13 Multiply 2 * -12 5 + -24n = -24 + 13 Combine like terms: -24 + 13 = -11 5 + -24n = -11 Solving 5 + -24n = -11 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -24n = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -24n = -11 + -5 -24n = -11 + -5 Combine like terms: -11 + -5 = -16 -24n = -16 Divide each side by '-24'. n = 0.6666666667 Simplifying n = 0.6666666667
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