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Simplifying 3n + 12 + -16 = 2n + 5 Reorder the terms: 12 + -16 + 3n = 2n + 5 Combine like terms: 12 + -16 = -4 -4 + 3n = 2n + 5 Reorder the terms: -4 + 3n = 5 + 2n Solving -4 + 3n = 5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -4 + 3n + -2n = 5 + 2n + -2n Combine like terms: 3n + -2n = 1n -4 + 1n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + 1n = 5 + 0 -4 + 1n = 5 Add '4' to each side of the equation. -4 + 4 + 1n = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 1n = 5 + 4 1n = 5 + 4 Combine like terms: 5 + 4 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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