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Simplifying 16 + -1(n + -5) = 12 + -3n Reorder the terms: 16 + -1(-5 + n) = 12 + -3n 16 + (-5 * -1 + n * -1) = 12 + -3n 16 + (5 + -1n) = 12 + -3n Combine like terms: 16 + 5 = 21 21 + -1n = 12 + -3n Solving 21 + -1n = 12 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 21 + -1n + 3n = 12 + -3n + 3n Combine like terms: -1n + 3n = 2n 21 + 2n = 12 + -3n + 3n Combine like terms: -3n + 3n = 0 21 + 2n = 12 + 0 21 + 2n = 12 Add '-21' to each side of the equation. 21 + -21 + 2n = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = 12 + -21 2n = 12 + -21 Combine like terms: 12 + -21 = -9 2n = -9 Divide each side by '2'. n = -4.5 Simplifying n = -4.5
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