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Simplifying 5n = 3(n + -9) + 7 Reorder the terms: 5n = 3(-9 + n) + 7 5n = (-9 * 3 + n * 3) + 7 5n = (-27 + 3n) + 7 Reorder the terms: 5n = -27 + 7 + 3n Combine like terms: -27 + 7 = -20 5n = -20 + 3n Solving 5n = -20 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5n + -3n = -20 + 3n + -3n Combine like terms: 5n + -3n = 2n 2n = -20 + 3n + -3n Combine like terms: 3n + -3n = 0 2n = -20 + 0 2n = -20 Divide each side by '2'. n = -10 Simplifying n = -10
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