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