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Simplifying 2(1 + -7n) = 9n + 47 (1 * 2 + -7n * 2) = 9n + 47 (2 + -14n) = 9n + 47 Reorder the terms: 2 + -14n = 47 + 9n Solving 2 + -14n = 47 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 2 + -14n + -9n = 47 + 9n + -9n Combine like terms: -14n + -9n = -23n 2 + -23n = 47 + 9n + -9n Combine like terms: 9n + -9n = 0 2 + -23n = 47 + 0 2 + -23n = 47 Add '-2' to each side of the equation. 2 + -2 + -23n = 47 + -2 Combine like terms: 2 + -2 = 0 0 + -23n = 47 + -2 -23n = 47 + -2 Combine like terms: 47 + -2 = 45 -23n = 45 Divide each side by '-23'. n = -1.956521739 Simplifying n = -1.956521739
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