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Simplifying x + 2n + 12 = 15n + 35 Reorder the terms: 12 + 2n + x = 15n + 35 Reorder the terms: 12 + 2n + x = 35 + 15n Solving 12 + 2n + x = 35 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 12 + 2n + -15n + x = 35 + 15n + -15n Combine like terms: 2n + -15n = -13n 12 + -13n + x = 35 + 15n + -15n Combine like terms: 15n + -15n = 0 12 + -13n + x = 35 + 0 12 + -13n + x = 35 Add '-12' to each side of the equation. 12 + -13n + -12 + x = 35 + -12 Reorder the terms: 12 + -12 + -13n + x = 35 + -12 Combine like terms: 12 + -12 = 0 0 + -13n + x = 35 + -12 -13n + x = 35 + -12 Combine like terms: 35 + -12 = 23 -13n + x = 23 Add '-1x' to each side of the equation. -13n + x + -1x = 23 + -1x Combine like terms: x + -1x = 0 -13n + 0 = 23 + -1x -13n = 23 + -1x Divide each side by '-13'. n = -1.769230769 + 0.07692307692x Simplifying n = -1.769230769 + 0.07692307692x
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