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Simplifying 5n + 12 = 30n + 40 Reorder the terms: 12 + 5n = 30n + 40 Reorder the terms: 12 + 5n = 40 + 30n Solving 12 + 5n = 40 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 12 + 5n + -30n = 40 + 30n + -30n Combine like terms: 5n + -30n = -25n 12 + -25n = 40 + 30n + -30n Combine like terms: 30n + -30n = 0 12 + -25n = 40 + 0 12 + -25n = 40 Add '-12' to each side of the equation. 12 + -12 + -25n = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -25n = 40 + -12 -25n = 40 + -12 Combine like terms: 40 + -12 = 28 -25n = 28 Divide each side by '-25'. n = -1.12 Simplifying n = -1.12
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