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Simplifying 4(1 + -5n) + 7 = 38 + 7n (1 * 4 + -5n * 4) + 7 = 38 + 7n (4 + -20n) + 7 = 38 + 7n Reorder the terms: 4 + 7 + -20n = 38 + 7n Combine like terms: 4 + 7 = 11 11 + -20n = 38 + 7n Solving 11 + -20n = 38 + 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. 11 + -20n + -7n = 38 + 7n + -7n Combine like terms: -20n + -7n = -27n 11 + -27n = 38 + 7n + -7n Combine like terms: 7n + -7n = 0 11 + -27n = 38 + 0 11 + -27n = 38 Add '-11' to each side of the equation. 11 + -11 + -27n = 38 + -11 Combine like terms: 11 + -11 = 0 0 + -27n = 38 + -11 -27n = 38 + -11 Combine like terms: 38 + -11 = 27 -27n = 27 Divide each side by '-27'. n = -1 Simplifying n = -1
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