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Simplifying 5 + 12n = -16 + 5n Solving 5 + 12n = -16 + 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. 5 + 12n + -5n = -16 + 5n + -5n Combine like terms: 12n + -5n = 7n 5 + 7n = -16 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + 7n = -16 + 0 5 + 7n = -16 Add '-5' to each side of the equation. 5 + -5 + 7n = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = -16 + -5 7n = -16 + -5 Combine like terms: -16 + -5 = -21 7n = -21 Divide each side by '7'. n = -3 Simplifying n = -3
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