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Simplifying 5n + -13 = 12n + 9 Reorder the terms: -13 + 5n = 12n + 9 Reorder the terms: -13 + 5n = 9 + 12n Solving -13 + 5n = 9 + 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. -13 + 5n + -12n = 9 + 12n + -12n Combine like terms: 5n + -12n = -7n -13 + -7n = 9 + 12n + -12n Combine like terms: 12n + -12n = 0 -13 + -7n = 9 + 0 -13 + -7n = 9 Add '13' to each side of the equation. -13 + 13 + -7n = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -7n = 9 + 13 -7n = 9 + 13 Combine like terms: 9 + 13 = 22 -7n = 22 Divide each side by '-7'. n = -3.142857143 Simplifying n = -3.142857143
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