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Simplifying 7 + 3n = (5n + -7) Reorder the terms: 7 + 3n = (-7 + 5n) Remove parenthesis around (-7 + 5n) 7 + 3n = -7 + 5n Solving 7 + 3n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7 + 3n + -5n = -7 + 5n + -5n Combine like terms: 3n + -5n = -2n 7 + -2n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + -2n = -7 + 0 7 + -2n = -7 Add '-7' to each side of the equation. 7 + -7 + -2n = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = -7 + -7 -2n = -7 + -7 Combine like terms: -7 + -7 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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