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Simplifying 7n + -6n = 5(n + 8) + -1(1 + -9n) Combine like terms: 7n + -6n = 1n 1n = 5(n + 8) + -1(1 + -9n) Reorder the terms: 1n = 5(8 + n) + -1(1 + -9n) 1n = (8 * 5 + n * 5) + -1(1 + -9n) 1n = (40 + 5n) + -1(1 + -9n) 1n = 40 + 5n + (1 * -1 + -9n * -1) 1n = 40 + 5n + (-1 + 9n) Reorder the terms: 1n = 40 + -1 + 5n + 9n Combine like terms: 40 + -1 = 39 1n = 39 + 5n + 9n Combine like terms: 5n + 9n = 14n 1n = 39 + 14n Solving 1n = 39 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 1n + -14n = 39 + 14n + -14n Combine like terms: 1n + -14n = -13n -13n = 39 + 14n + -14n Combine like terms: 14n + -14n = 0 -13n = 39 + 0 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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