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Simplifying 5n + 12 = 9n + -16 Reorder the terms: 12 + 5n = 9n + -16 Reorder the terms: 12 + 5n = -16 + 9n Solving 12 + 5n = -16 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 12 + 5n + -9n = -16 + 9n + -9n Combine like terms: 5n + -9n = -4n 12 + -4n = -16 + 9n + -9n Combine like terms: 9n + -9n = 0 12 + -4n = -16 + 0 12 + -4n = -16 Add '-12' to each side of the equation. 12 + -12 + -4n = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = -16 + -12 -4n = -16 + -12 Combine like terms: -16 + -12 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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