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Simplifying 5n + -12 = 2n + 26 Reorder the terms: -12 + 5n = 2n + 26 Reorder the terms: -12 + 5n = 26 + 2n Solving -12 + 5n = 26 + 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. -12 + 5n + -2n = 26 + 2n + -2n Combine like terms: 5n + -2n = 3n -12 + 3n = 26 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 3n = 26 + 0 -12 + 3n = 26 Add '12' to each side of the equation. -12 + 12 + 3n = 26 + 12 Combine like terms: -12 + 12 = 0 0 + 3n = 26 + 12 3n = 26 + 12 Combine like terms: 26 + 12 = 38 3n = 38 Divide each side by '3'. n = 12.66666667 Simplifying n = 12.66666667
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