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Simplifying 5 + -6(n + -2) = 16 + -5n Reorder the terms: 5 + -6(-2 + n) = 16 + -5n 5 + (-2 * -6 + n * -6) = 16 + -5n 5 + (12 + -6n) = 16 + -5n Combine like terms: 5 + 12 = 17 17 + -6n = 16 + -5n Solving 17 + -6n = 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. 17 + -6n + 5n = 16 + -5n + 5n Combine like terms: -6n + 5n = -1n 17 + -1n = 16 + -5n + 5n Combine like terms: -5n + 5n = 0 17 + -1n = 16 + 0 17 + -1n = 16 Add '-17' to each side of the equation. 17 + -17 + -1n = 16 + -17 Combine like terms: 17 + -17 = 0 0 + -1n = 16 + -17 -1n = 16 + -17 Combine like terms: 16 + -17 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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