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Simplifying (5n + -3) = (-2n + 7) Reorder the terms: (-3 + 5n) = (-2n + 7) Remove parenthesis around (-3 + 5n) -3 + 5n = (-2n + 7) Reorder the terms: -3 + 5n = (7 + -2n) Remove parenthesis around (7 + -2n) -3 + 5n = 7 + -2n Solving -3 + 5n = 7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -3 + 5n + 2n = 7 + -2n + 2n Combine like terms: 5n + 2n = 7n -3 + 7n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 -3 + 7n = 7 + 0 -3 + 7n = 7 Add '3' to each side of the equation. -3 + 3 + 7n = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = 7 + 3 7n = 7 + 3 Combine like terms: 7 + 3 = 10 7n = 10 Divide each side by '7'. n = 1.428571429 Simplifying n = 1.428571429
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