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Simplifying 7n + 5 = 12n + -10 Reorder the terms: 5 + 7n = 12n + -10 Reorder the terms: 5 + 7n = -10 + 12n Solving 5 + 7n = -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. 5 + 7n + -12n = -10 + 12n + -12n Combine like terms: 7n + -12n = -5n 5 + -5n = -10 + 12n + -12n Combine like terms: 12n + -12n = 0 5 + -5n = -10 + 0 5 + -5n = -10 Add '-5' to each side of the equation. 5 + -5 + -5n = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -5n = -10 + -5 -5n = -10 + -5 Combine like terms: -10 + -5 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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