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Simplifying (7n + -3) = (4n + 2) Reorder the terms: (-3 + 7n) = (4n + 2) Remove parenthesis around (-3 + 7n) -3 + 7n = (4n + 2) Reorder the terms: -3 + 7n = (2 + 4n) Remove parenthesis around (2 + 4n) -3 + 7n = 2 + 4n Solving -3 + 7n = 2 + 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. -3 + 7n + -4n = 2 + 4n + -4n Combine like terms: 7n + -4n = 3n -3 + 3n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + 3n = 2 + 0 -3 + 3n = 2 Add '3' to each side of the equation. -3 + 3 + 3n = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 3n = 2 + 3 3n = 2 + 3 Combine like terms: 2 + 3 = 5 3n = 5 Divide each side by '3'. n = 1.666666667 Simplifying n = 1.666666667
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