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Simplifying 1 + -2(-6n + -3) = -9(2n + -3) + -6 Reorder the terms: 1 + -2(-3 + -6n) = -9(2n + -3) + -6 1 + (-3 * -2 + -6n * -2) = -9(2n + -3) + -6 1 + (6 + 12n) = -9(2n + -3) + -6 Combine like terms: 1 + 6 = 7 7 + 12n = -9(2n + -3) + -6 Reorder the terms: 7 + 12n = -9(-3 + 2n) + -6 7 + 12n = (-3 * -9 + 2n * -9) + -6 7 + 12n = (27 + -18n) + -6 Reorder the terms: 7 + 12n = 27 + -6 + -18n Combine like terms: 27 + -6 = 21 7 + 12n = 21 + -18n Solving 7 + 12n = 21 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 7 + 12n + 18n = 21 + -18n + 18n Combine like terms: 12n + 18n = 30n 7 + 30n = 21 + -18n + 18n Combine like terms: -18n + 18n = 0 7 + 30n = 21 + 0 7 + 30n = 21 Add '-7' to each side of the equation. 7 + -7 + 30n = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 30n = 21 + -7 30n = 21 + -7 Combine like terms: 21 + -7 = 14 30n = 14 Divide each side by '30'. n = 0.4666666667 Simplifying n = 0.4666666667
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