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Simplifying 7(1 + -2n) = 2(1 + 3n) + 5 (1 * 7 + -2n * 7) = 2(1 + 3n) + 5 (7 + -14n) = 2(1 + 3n) + 5 7 + -14n = (1 * 2 + 3n * 2) + 5 7 + -14n = (2 + 6n) + 5 Reorder the terms: 7 + -14n = 2 + 5 + 6n Combine like terms: 2 + 5 = 7 7 + -14n = 7 + 6n Add '-7' to each side of the equation. 7 + -7 + -14n = 7 + -7 + 6n Combine like terms: 7 + -7 = 0 0 + -14n = 7 + -7 + 6n -14n = 7 + -7 + 6n Combine like terms: 7 + -7 = 0 -14n = 0 + 6n -14n = 6n Solving -14n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14n + -6n = 6n + -6n Combine like terms: -14n + -6n = -20n -20n = 6n + -6n Combine like terms: 6n + -6n = 0 -20n = 0 Divide each side by '-20'. n = 0.0 Simplifying n = 0.0
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