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