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Simplifying 12n + 52 = 13n + -9 Reorder the terms: 52 + 12n = 13n + -9 Reorder the terms: 52 + 12n = -9 + 13n Solving 52 + 12n = -9 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 52 + 12n + -13n = -9 + 13n + -13n Combine like terms: 12n + -13n = -1n 52 + -1n = -9 + 13n + -13n Combine like terms: 13n + -13n = 0 52 + -1n = -9 + 0 52 + -1n = -9 Add '-52' to each side of the equation. 52 + -52 + -1n = -9 + -52 Combine like terms: 52 + -52 = 0 0 + -1n = -9 + -52 -1n = -9 + -52 Combine like terms: -9 + -52 = -61 -1n = -61 Divide each side by '-1'. n = 61 Simplifying n = 61
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