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Simplifying 7n + 8(1 + -6n) = 213 7n + (1 * 8 + -6n * 8) = 213 7n + (8 + -48n) = 213 Reorder the terms: 8 + 7n + -48n = 213 Combine like terms: 7n + -48n = -41n 8 + -41n = 213 Solving 8 + -41n = 213 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -41n = 213 + -8 Combine like terms: 8 + -8 = 0 0 + -41n = 213 + -8 -41n = 213 + -8 Combine like terms: 213 + -8 = 205 -41n = 205 Divide each side by '-41'. n = -5 Simplifying n = -5
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