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Simplifying -5n + 15 + 19 = -2n + -2 Reorder the terms: 15 + 19 + -5n = -2n + -2 Combine like terms: 15 + 19 = 34 34 + -5n = -2n + -2 Reorder the terms: 34 + -5n = -2 + -2n Solving 34 + -5n = -2 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 34 + -5n + 2n = -2 + -2n + 2n Combine like terms: -5n + 2n = -3n 34 + -3n = -2 + -2n + 2n Combine like terms: -2n + 2n = 0 34 + -3n = -2 + 0 34 + -3n = -2 Add '-34' to each side of the equation. 34 + -34 + -3n = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -3n = -2 + -34 -3n = -2 + -34 Combine like terms: -2 + -34 = -36 -3n = -36 Divide each side by '-3'. n = 12 Simplifying n = 12
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