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Simplifying 2(1 + -7n) + -3n = 23 + 4n (1 * 2 + -7n * 2) + -3n = 23 + 4n (2 + -14n) + -3n = 23 + 4n Combine like terms: -14n + -3n = -17n 2 + -17n = 23 + 4n Solving 2 + -17n = 23 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 2 + -17n + -4n = 23 + 4n + -4n Combine like terms: -17n + -4n = -21n 2 + -21n = 23 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + -21n = 23 + 0 2 + -21n = 23 Add '-2' to each side of the equation. 2 + -2 + -21n = 23 + -2 Combine like terms: 2 + -2 = 0 0 + -21n = 23 + -2 -21n = 23 + -2 Combine like terms: 23 + -2 = 21 -21n = 21 Divide each side by '-21'. n = -1 Simplifying n = -1
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