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Simplifying (5n + -3) + -1(2n + 7) = 0 Reorder the terms: (-3 + 5n) + -1(2n + 7) = 0 Remove parenthesis around (-3 + 5n) -3 + 5n + -1(2n + 7) = 0 Reorder the terms: -3 + 5n + -1(7 + 2n) = 0 -3 + 5n + (7 * -1 + 2n * -1) = 0 -3 + 5n + (-7 + -2n) = 0 Reorder the terms: -3 + -7 + 5n + -2n = 0 Combine like terms: -3 + -7 = -10 -10 + 5n + -2n = 0 Combine like terms: 5n + -2n = 3n -10 + 3n = 0 Solving -10 + 3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 0 + 10 3n = 0 + 10 Combine like terms: 0 + 10 = 10 3n = 10 Divide each side by '3'. n = 3.333333333 Simplifying n = 3.333333333
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