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Simplifying 5n + 10 = 12n + -10 Reorder the terms: 10 + 5n = 12n + -10 Reorder the terms: 10 + 5n = -10 + 12n Solving 10 + 5n = -10 + 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. 10 + 5n + -12n = -10 + 12n + -12n Combine like terms: 5n + -12n = -7n 10 + -7n = -10 + 12n + -12n Combine like terms: 12n + -12n = 0 10 + -7n = -10 + 0 10 + -7n = -10 Add '-10' to each side of the equation. 10 + -10 + -7n = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -7n = -10 + -10 -7n = -10 + -10 Combine like terms: -10 + -10 = -20 -7n = -20 Divide each side by '-7'. n = 2.857142857 Simplifying n = 2.857142857
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