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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 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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