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Simplifying (7n + -9) + -1(4n + -2) = 0 Reorder the terms: (-9 + 7n) + -1(4n + -2) = 0 Remove parenthesis around (-9 + 7n) -9 + 7n + -1(4n + -2) = 0 Reorder the terms: -9 + 7n + -1(-2 + 4n) = 0 -9 + 7n + (-2 * -1 + 4n * -1) = 0 -9 + 7n + (2 + -4n) = 0 Reorder the terms: -9 + 2 + 7n + -4n = 0 Combine like terms: -9 + 2 = -7 -7 + 7n + -4n = 0 Combine like terms: 7n + -4n = 3n -7 + 3n = 0 Solving -7 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = 0 + 7 3n = 0 + 7 Combine like terms: 0 + 7 = 7 3n = 7 Divide each side by '3'. n = 2.333333333 Simplifying n = 2.333333333
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