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Simplifying -1(2n + -6) + -1n = -7n + 6(1 + 4n) Reorder the terms: -1(-6 + 2n) + -1n = -7n + 6(1 + 4n) (-6 * -1 + 2n * -1) + -1n = -7n + 6(1 + 4n) (6 + -2n) + -1n = -7n + 6(1 + 4n) Combine like terms: -2n + -1n = -3n 6 + -3n = -7n + 6(1 + 4n) 6 + -3n = -7n + (1 * 6 + 4n * 6) 6 + -3n = -7n + (6 + 24n) Reorder the terms: 6 + -3n = 6 + -7n + 24n Combine like terms: -7n + 24n = 17n 6 + -3n = 6 + 17n Add '-6' to each side of the equation. 6 + -6 + -3n = 6 + -6 + 17n Combine like terms: 6 + -6 = 0 0 + -3n = 6 + -6 + 17n -3n = 6 + -6 + 17n Combine like terms: 6 + -6 = 0 -3n = 0 + 17n -3n = 17n Solving -3n = 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. -3n + -17n = 17n + -17n Combine like terms: -3n + -17n = -20n -20n = 17n + -17n Combine like terms: 17n + -17n = 0 -20n = 0 Divide each side by '-20'. n = 0.0 Simplifying n = 0.0
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