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Simplifying 7(1 + -7n) + -1n = 2n + -7 (1 * 7 + -7n * 7) + -1n = 2n + -7 (7 + -49n) + -1n = 2n + -7 Combine like terms: -49n + -1n = -50n 7 + -50n = 2n + -7 Reorder the terms: 7 + -50n = -7 + 2n Solving 7 + -50n = -7 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 7 + -50n + -2n = -7 + 2n + -2n Combine like terms: -50n + -2n = -52n 7 + -52n = -7 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + -52n = -7 + 0 7 + -52n = -7 Add '-7' to each side of the equation. 7 + -7 + -52n = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -52n = -7 + -7 -52n = -7 + -7 Combine like terms: -7 + -7 = -14 -52n = -14 Divide each side by '-52'. n = 0.2692307692 Simplifying n = 0.2692307692
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