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Simplifying 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 = -6n 12 + -6n = 16 + n + -1n Combine like terms: n + -1n = 0 12 + -6n = 16 + 0 12 + -6n = 16 Add '-12' to each side of the equation. 12 + -12 + -6n = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = 16 + -12 -6n = 16 + -12 Combine like terms: 16 + -12 = 4 -6n = 4 Divide each side by '-6'. n = -0.6666666667 Simplifying n = -0.6666666667
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