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Simplifying 7(9n + 1) + -8(5n + -6) = 0 Reorder the terms: 7(1 + 9n) + -8(5n + -6) = 0 (1 * 7 + 9n * 7) + -8(5n + -6) = 0 (7 + 63n) + -8(5n + -6) = 0 Reorder the terms: 7 + 63n + -8(-6 + 5n) = 0 7 + 63n + (-6 * -8 + 5n * -8) = 0 7 + 63n + (48 + -40n) = 0 Reorder the terms: 7 + 48 + 63n + -40n = 0 Combine like terms: 7 + 48 = 55 55 + 63n + -40n = 0 Combine like terms: 63n + -40n = 23n 55 + 23n = 0 Solving 55 + 23n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 23n = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 23n = 0 + -55 23n = 0 + -55 Combine like terms: 0 + -55 = -55 23n = -55 Divide each side by '23'. n = -2.391304348 Simplifying n = -2.391304348
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