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Simplifying -4n + 12 = 7n + 10 Reorder the terms: 12 + -4n = 7n + 10 Reorder the terms: 12 + -4n = 10 + 7n Solving 12 + -4n = 10 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 12 + -4n + -7n = 10 + 7n + -7n Combine like terms: -4n + -7n = -11n 12 + -11n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 12 + -11n = 10 + 0 12 + -11n = 10 Add '-12' to each side of the equation. 12 + -12 + -11n = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -11n = 10 + -12 -11n = 10 + -12 Combine like terms: 10 + -12 = -2 -11n = -2 Divide each side by '-11'. n = 0.1818181818 Simplifying n = 0.1818181818
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