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Simplifying (7n + (-3)) + -1(3n + 5) = 0 (7n + -3) + -1(3n + 5) = 0 Reorder the terms: (-3 + 7n) + -1(3n + 5) = 0 Remove parenthesis around (-3 + 7n) -3 + 7n + -1(3n + 5) = 0 Reorder the terms: -3 + 7n + -1(5 + 3n) = 0 -3 + 7n + (5 * -1 + 3n * -1) = 0 -3 + 7n + (-5 + -3n) = 0 Reorder the terms: -3 + -5 + 7n + -3n = 0 Combine like terms: -3 + -5 = -8 -8 + 7n + -3n = 0 Combine like terms: 7n + -3n = 4n -8 + 4n = 0 Solving -8 + 4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 0 + 8 4n = 0 + 8 Combine like terms: 0 + 8 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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