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Simplifying 3(-5n + 1) + 2n = 81 Reorder the terms: 3(1 + -5n) + 2n = 81 (1 * 3 + -5n * 3) + 2n = 81 (3 + -15n) + 2n = 81 Combine like terms: -15n + 2n = -13n 3 + -13n = 81 Solving 3 + -13n = 81 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -13n = 81 + -3 Combine like terms: 3 + -3 = 0 0 + -13n = 81 + -3 -13n = 81 + -3 Combine like terms: 81 + -3 = 78 -13n = 78 Divide each side by '-13'. n = -6 Simplifying n = -6
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