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Simplifying -3(n + -7) + 5n = 18 + 2 Reorder the terms: -3(-7 + n) + 5n = 18 + 2 (-7 * -3 + n * -3) + 5n = 18 + 2 (21 + -3n) + 5n = 18 + 2 Combine like terms: -3n + 5n = 2n 21 + 2n = 18 + 2 Combine like terms: 18 + 2 = 20 21 + 2n = 20 Solving 21 + 2n = 20 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2n = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = 20 + -21 2n = 20 + -21 Combine like terms: 20 + -21 = -1 2n = -1 Divide each side by '2'. n = -0.5 Simplifying n = -0.5
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