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Simplifying 12 + 5n + -8 = 12n + -10 Reorder the terms: 12 + -8 + 5n = 12n + -10 Combine like terms: 12 + -8 = 4 4 + 5n = 12n + -10 Reorder the terms: 4 + 5n = -10 + 12n Solving 4 + 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. 4 + 5n + -12n = -10 + 12n + -12n Combine like terms: 5n + -12n = -7n 4 + -7n = -10 + 12n + -12n Combine like terms: 12n + -12n = 0 4 + -7n = -10 + 0 4 + -7n = -10 Add '-4' to each side of the equation. 4 + -4 + -7n = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7n = -10 + -4 -7n = -10 + -4 Combine like terms: -10 + -4 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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