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Simplifying (4n + -7) + -1(2n + -1) = 0 Reorder the terms: (-7 + 4n) + -1(2n + -1) = 0 Remove parenthesis around (-7 + 4n) -7 + 4n + -1(2n + -1) = 0 Reorder the terms: -7 + 4n + -1(-1 + 2n) = 0 -7 + 4n + (-1 * -1 + 2n * -1) = 0 -7 + 4n + (1 + -2n) = 0 Reorder the terms: -7 + 1 + 4n + -2n = 0 Combine like terms: -7 + 1 = -6 -6 + 4n + -2n = 0 Combine like terms: 4n + -2n = 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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