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Simplifying -3(n + -12) + 8 + 5n = 42 Reorder the terms: -3(-12 + n) + 8 + 5n = 42 (-12 * -3 + n * -3) + 8 + 5n = 42 (36 + -3n) + 8 + 5n = 42 Reorder the terms: 36 + 8 + -3n + 5n = 42 Combine like terms: 36 + 8 = 44 44 + -3n + 5n = 42 Combine like terms: -3n + 5n = 2n 44 + 2n = 42 Solving 44 + 2n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 2n = 42 + -44 Combine like terms: 44 + -44 = 0 0 + 2n = 42 + -44 2n = 42 + -44 Combine like terms: 42 + -44 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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