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