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Simplifying 19n + -3(n + -6) = 66 Reorder the terms: 19n + -3(-6 + n) = 66 19n + (-6 * -3 + n * -3) = 66 19n + (18 + -3n) = 66 Reorder the terms: 18 + 19n + -3n = 66 Combine like terms: 19n + -3n = 16n 18 + 16n = 66 Solving 18 + 16n = 66 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 16n = 66 + -18 Combine like terms: 18 + -18 = 0 0 + 16n = 66 + -18 16n = 66 + -18 Combine like terms: 66 + -18 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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