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Simplifying 5n + 40 = 12n + -32 Reorder the terms: 40 + 5n = 12n + -32 Reorder the terms: 40 + 5n = -32 + 12n Solving 40 + 5n = -32 + 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. 40 + 5n + -12n = -32 + 12n + -12n Combine like terms: 5n + -12n = -7n 40 + -7n = -32 + 12n + -12n Combine like terms: 12n + -12n = 0 40 + -7n = -32 + 0 40 + -7n = -32 Add '-40' to each side of the equation. 40 + -40 + -7n = -32 + -40 Combine like terms: 40 + -40 = 0 0 + -7n = -32 + -40 -7n = -32 + -40 Combine like terms: -32 + -40 = -72 -7n = -72 Divide each side by '-7'. n = 10.28571429 Simplifying n = 10.28571429
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