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