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Simplifying n + 8 = 5n + -12 Reorder the terms: 8 + n = 5n + -12 Reorder the terms: 8 + n = -12 + 5n Solving 8 + n = -12 + 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. 8 + n + -5n = -12 + 5n + -5n Combine like terms: n + -5n = -4n 8 + -4n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 8 + -4n = -12 + 0 8 + -4n = -12 Add '-8' to each side of the equation. 8 + -8 + -4n = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -12 + -8 -4n = -12 + -8 Combine like terms: -12 + -8 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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