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Simplifying 5(3 + 4n) + -1(7n + -1) = 3 (3 * 5 + 4n * 5) + -1(7n + -1) = 3 (15 + 20n) + -1(7n + -1) = 3 Reorder the terms: 15 + 20n + -1(-1 + 7n) = 3 15 + 20n + (-1 * -1 + 7n * -1) = 3 15 + 20n + (1 + -7n) = 3 Reorder the terms: 15 + 1 + 20n + -7n = 3 Combine like terms: 15 + 1 = 16 16 + 20n + -7n = 3 Combine like terms: 20n + -7n = 13n 16 + 13n = 3 Solving 16 + 13n = 3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 13n = 3 + -16 Combine like terms: 16 + -16 = 0 0 + 13n = 3 + -16 13n = 3 + -16 Combine like terms: 3 + -16 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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