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Simplifying 4n + 5 + 5 + -1n = (6 + -3n) + -1(3n + -7) Reorder the terms: 5 + 5 + 4n + -1n = (6 + -3n) + -1(3n + -7) Combine like terms: 5 + 5 = 10 10 + 4n + -1n = (6 + -3n) + -1(3n + -7) Combine like terms: 4n + -1n = 3n 10 + 3n = (6 + -3n) + -1(3n + -7) Remove parenthesis around (6 + -3n) 10 + 3n = 6 + -3n + -1(3n + -7) Reorder the terms: 10 + 3n = 6 + -3n + -1(-7 + 3n) 10 + 3n = 6 + -3n + (-7 * -1 + 3n * -1) 10 + 3n = 6 + -3n + (7 + -3n) Reorder the terms: 10 + 3n = 6 + 7 + -3n + -3n Combine like terms: 6 + 7 = 13 10 + 3n = 13 + -3n + -3n Combine like terms: -3n + -3n = -6n 10 + 3n = 13 + -6n Solving 10 + 3n = 13 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 10 + 3n + 6n = 13 + -6n + 6n Combine like terms: 3n + 6n = 9n 10 + 9n = 13 + -6n + 6n Combine like terms: -6n + 6n = 0 10 + 9n = 13 + 0 10 + 9n = 13 Add '-10' to each side of the equation. 10 + -10 + 9n = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 9n = 13 + -10 9n = 13 + -10 Combine like terms: 13 + -10 = 3 9n = 3 Divide each side by '9'. n = 0.3333333333 Simplifying n = 0.3333333333
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