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Simplifying 3n + 5 = 12n + -94 Reorder the terms: 5 + 3n = 12n + -94 Reorder the terms: 5 + 3n = -94 + 12n Solving 5 + 3n = -94 + 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. 5 + 3n + -12n = -94 + 12n + -12n Combine like terms: 3n + -12n = -9n 5 + -9n = -94 + 12n + -12n Combine like terms: 12n + -12n = 0 5 + -9n = -94 + 0 5 + -9n = -94 Add '-5' to each side of the equation. 5 + -5 + -9n = -94 + -5 Combine like terms: 5 + -5 = 0 0 + -9n = -94 + -5 -9n = -94 + -5 Combine like terms: -94 + -5 = -99 -9n = -99 Divide each side by '-9'. n = 11 Simplifying n = 11
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