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Simplifying (2n + 1) + -1(4n + (-5)) = 0 Reorder the terms: (1 + 2n) + -1(4n + (-5)) = 0 Remove parenthesis around (1 + 2n) 1 + 2n + -1(4n + (-5)) = 0 1 + 2n + -1(4n + -5) = 0 Reorder the terms: 1 + 2n + -1(-5 + 4n) = 0 1 + 2n + (-5 * -1 + 4n * -1) = 0 1 + 2n + (5 + -4n) = 0 Reorder the terms: 1 + 5 + 2n + -4n = 0 Combine like terms: 1 + 5 = 6 6 + 2n + -4n = 0 Combine like terms: 2n + -4n = -2n 6 + -2n = 0 Solving 6 + -2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2n = 0 + -6 -2n = 0 + -6 Combine like terms: 0 + -6 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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