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Simplifying 4n + 5 + 5 + -1n = -1(6 + -3n) + -1(3n + -7) Reorder the terms: 5 + 5 + 4n + -1n = -1(6 + -3n) + -1(3n + -7) Combine like terms: 5 + 5 = 10 10 + 4n + -1n = -1(6 + -3n) + -1(3n + -7) Combine like terms: 4n + -1n = 3n 10 + 3n = -1(6 + -3n) + -1(3n + -7) 10 + 3n = (6 * -1 + -3n * -1) + -1(3n + -7) 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 = 1 10 + 3n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 3n = 1 + 0 10 + 3n = 1 Solving 10 + 3n = 1 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 = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = 1 + -10 3n = 1 + -10 Combine like terms: 1 + -10 = -9 3n = -9 Divide each side by '3'. n = -3 Simplifying n = -3
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