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Simplifying -5n + 12 = -3n + -8 Reorder the terms: 12 + -5n = -3n + -8 Reorder the terms: 12 + -5n = -8 + -3n Solving 12 + -5n = -8 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 12 + -5n + 3n = -8 + -3n + 3n Combine like terms: -5n + 3n = -2n 12 + -2n = -8 + -3n + 3n Combine like terms: -3n + 3n = 0 12 + -2n = -8 + 0 12 + -2n = -8 Add '-12' to each side of the equation. 12 + -12 + -2n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = -8 + -12 -2n = -8 + -12 Combine like terms: -8 + -12 = -20 -2n = -20 Divide each side by '-2'. n = 10 Simplifying n = 10
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