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Simplifying 5n + 32 = 12n + 25 Reorder the terms: 32 + 5n = 12n + 25 Reorder the terms: 32 + 5n = 25 + 12n Solving 32 + 5n = 25 + 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. 32 + 5n + -12n = 25 + 12n + -12n Combine like terms: 5n + -12n = -7n 32 + -7n = 25 + 12n + -12n Combine like terms: 12n + -12n = 0 32 + -7n = 25 + 0 32 + -7n = 25 Add '-32' to each side of the equation. 32 + -32 + -7n = 25 + -32 Combine like terms: 32 + -32 = 0 0 + -7n = 25 + -32 -7n = 25 + -32 Combine like terms: 25 + -32 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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