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Simplifying 36n + -42 = 102 + 12n Reorder the terms: -42 + 36n = 102 + 12n Solving -42 + 36n = 102 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -42 + 36n + -12n = 102 + 12n + -12n Combine like terms: 36n + -12n = 24n -42 + 24n = 102 + 12n + -12n Combine like terms: 12n + -12n = 0 -42 + 24n = 102 + 0 -42 + 24n = 102 Add '42' to each side of the equation. -42 + 42 + 24n = 102 + 42 Combine like terms: -42 + 42 = 0 0 + 24n = 102 + 42 24n = 102 + 42 Combine like terms: 102 + 42 = 144 24n = 144 Divide each side by '24'. n = 6 Simplifying n = 6
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