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Simplifying (3n + 1) + -1(5n + (-7)) = 0 Reorder the terms: (1 + 3n) + -1(5n + (-7)) = 0 Remove parenthesis around (1 + 3n) 1 + 3n + -1(5n + (-7)) = 0 1 + 3n + -1(5n + -7) = 0 Reorder the terms: 1 + 3n + -1(-7 + 5n) = 0 1 + 3n + (-7 * -1 + 5n * -1) = 0 1 + 3n + (7 + -5n) = 0 Reorder the terms: 1 + 7 + 3n + -5n = 0 Combine like terms: 1 + 7 = 8 8 + 3n + -5n = 0 Combine like terms: 3n + -5n = -2n 8 + -2n = 0 Solving 8 + -2n = 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 + -2n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 0 + -8 -2n = 0 + -8 Combine like terms: 0 + -8 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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