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Simplifying 3n + 13 = -2n + -12 Reorder the terms: 13 + 3n = -2n + -12 Reorder the terms: 13 + 3n = -12 + -2n Solving 13 + 3n = -12 + -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. 13 + 3n + 2n = -12 + -2n + 2n Combine like terms: 3n + 2n = 5n 13 + 5n = -12 + -2n + 2n Combine like terms: -2n + 2n = 0 13 + 5n = -12 + 0 13 + 5n = -12 Add '-13' to each side of the equation. 13 + -13 + 5n = -12 + -13 Combine like terms: 13 + -13 = 0 0 + 5n = -12 + -13 5n = -12 + -13 Combine like terms: -12 + -13 = -25 5n = -25 Divide each side by '5'. n = -5 Simplifying n = -5
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