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Simplifying 2n + -1(5n + -7) = -5(n + -3) + 6 Reorder the terms: 2n + -1(-7 + 5n) = -5(n + -3) + 6 2n + (-7 * -1 + 5n * -1) = -5(n + -3) + 6 2n + (7 + -5n) = -5(n + -3) + 6 Reorder the terms: 7 + 2n + -5n = -5(n + -3) + 6 Combine like terms: 2n + -5n = -3n 7 + -3n = -5(n + -3) + 6 Reorder the terms: 7 + -3n = -5(-3 + n) + 6 7 + -3n = (-3 * -5 + n * -5) + 6 7 + -3n = (15 + -5n) + 6 Reorder the terms: 7 + -3n = 15 + 6 + -5n Combine like terms: 15 + 6 = 21 7 + -3n = 21 + -5n Solving 7 + -3n = 21 + -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 = 21 + -5n + 5n Combine like terms: -3n + 5n = 2n 7 + 2n = 21 + -5n + 5n Combine like terms: -5n + 5n = 0 7 + 2n = 21 + 0 7 + 2n = 21 Add '-7' to each side of the equation. 7 + -7 + 2n = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 21 + -7 2n = 21 + -7 Combine like terms: 21 + -7 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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