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Simplifying -81 = 21 + (n + -1)(-3) Reorder the terms: -81 = 21 + (-1 + n)(-3) Reorder the terms for easier multiplication: -81 = 21 + -3(-1 + n) -81 = 21 + (-1 * -3 + n * -3) -81 = 21 + (3 + -3n) Combine like terms: 21 + 3 = 24 -81 = 24 + -3n Solving -81 = 24 + -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. -81 + 3n = 24 + -3n + 3n Combine like terms: -3n + 3n = 0 -81 + 3n = 24 + 0 -81 + 3n = 24 Add '81' to each side of the equation. -81 + 81 + 3n = 24 + 81 Combine like terms: -81 + 81 = 0 0 + 3n = 24 + 81 3n = 24 + 81 Combine like terms: 24 + 81 = 105 3n = 105 Divide each side by '3'. n = 35 Simplifying n = 35
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