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Simplifying (3n + 8) = (7n + -4) Reorder the terms: (8 + 3n) = (7n + -4) Remove parenthesis around (8 + 3n) 8 + 3n = (7n + -4) Reorder the terms: 8 + 3n = (-4 + 7n) Remove parenthesis around (-4 + 7n) 8 + 3n = -4 + 7n Solving 8 + 3n = -4 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 8 + 3n + -7n = -4 + 7n + -7n Combine like terms: 3n + -7n = -4n 8 + -4n = -4 + 7n + -7n Combine like terms: 7n + -7n = 0 8 + -4n = -4 + 0 8 + -4n = -4 Add '-8' to each side of the equation. 8 + -8 + -4n = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -4 + -8 -4n = -4 + -8 Combine like terms: -4 + -8 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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