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Simplifying 6n + -1(2n + -3) = 18 + 7n Reorder the terms: 6n + -1(-3 + 2n) = 18 + 7n 6n + (-3 * -1 + 2n * -1) = 18 + 7n 6n + (3 + -2n) = 18 + 7n Reorder the terms: 3 + 6n + -2n = 18 + 7n Combine like terms: 6n + -2n = 4n 3 + 4n = 18 + 7n Solving 3 + 4n = 18 + 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. 3 + 4n + -7n = 18 + 7n + -7n Combine like terms: 4n + -7n = -3n 3 + -3n = 18 + 7n + -7n Combine like terms: 7n + -7n = 0 3 + -3n = 18 + 0 3 + -3n = 18 Add '-3' to each side of the equation. 3 + -3 + -3n = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = 18 + -3 -3n = 18 + -3 Combine like terms: 18 + -3 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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