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Simplifying 8 + -3(1 + -3n) = 12 + -7n 8 + (1 * -3 + -3n * -3) = 12 + -7n 8 + (-3 + 9n) = 12 + -7n Combine like terms: 8 + -3 = 5 5 + 9n = 12 + -7n Solving 5 + 9n = 12 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 5 + 9n + 7n = 12 + -7n + 7n Combine like terms: 9n + 7n = 16n 5 + 16n = 12 + -7n + 7n Combine like terms: -7n + 7n = 0 5 + 16n = 12 + 0 5 + 16n = 12 Add '-5' to each side of the equation. 5 + -5 + 16n = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 16n = 12 + -5 16n = 12 + -5 Combine like terms: 12 + -5 = 7 16n = 7 Divide each side by '16'. n = 0.4375 Simplifying n = 0.4375
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