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Simplifying 6(3 + 5n) = 18 + -7n (3 * 6 + 5n * 6) = 18 + -7n (18 + 30n) = 18 + -7n Add '-18' to each side of the equation. 18 + -18 + 30n = 18 + -18 + -7n Combine like terms: 18 + -18 = 0 0 + 30n = 18 + -18 + -7n 30n = 18 + -18 + -7n Combine like terms: 18 + -18 = 0 30n = 0 + -7n 30n = -7n Solving 30n = -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. 30n + 7n = -7n + 7n Combine like terms: 30n + 7n = 37n 37n = -7n + 7n Combine like terms: -7n + 7n = 0 37n = 0 Divide each side by '37'. n = 0 Simplifying n = 0
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