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Simplifying 8 + -3n = 2n + -27 Reorder the terms: 8 + -3n = -27 + 2n Solving 8 + -3n = -27 + 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. 8 + -3n + -2n = -27 + 2n + -2n Combine like terms: -3n + -2n = -5n 8 + -5n = -27 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + -5n = -27 + 0 8 + -5n = -27 Add '-8' to each side of the equation. 8 + -8 + -5n = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = -27 + -8 -5n = -27 + -8 Combine like terms: -27 + -8 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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