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Simplifying 2n + -4 = 5n + -12 Reorder the terms: -4 + 2n = 5n + -12 Reorder the terms: -4 + 2n = -12 + 5n Solving -4 + 2n = -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. -4 + 2n + -5n = -12 + 5n + -5n Combine like terms: 2n + -5n = -3n -4 + -3n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 -4 + -3n = -12 + 0 -4 + -3n = -12 Add '4' to each side of the equation. -4 + 4 + -3n = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = -12 + 4 -3n = -12 + 4 Combine like terms: -12 + 4 = -8 -3n = -8 Divide each side by '-3'. n = 2.666666667 Simplifying n = 2.666666667
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