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Simplifying -81 = 3(8 + 5n) -81 = (8 * 3 + 5n * 3) -81 = (24 + 15n) Solving -81 = 24 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -81 + -15n = 24 + 15n + -15n Combine like terms: 15n + -15n = 0 -81 + -15n = 24 + 0 -81 + -15n = 24 Add '81' to each side of the equation. -81 + 81 + -15n = 24 + 81 Combine like terms: -81 + 81 = 0 0 + -15n = 24 + 81 -15n = 24 + 81 Combine like terms: 24 + 81 = 105 -15n = 105 Divide each side by '-15'. n = -7 Simplifying n = -7
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