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Simplifying 4(8N + 35) + 9(n + 1) = u Reorder the terms: 4(35 + 8N) + 9(n + 1) = u (35 * 4 + 8N * 4) + 9(n + 1) = u (140 + 32N) + 9(n + 1) = u Reorder the terms: 140 + 32N + 9(1 + n) = u 140 + 32N + (1 * 9 + n * 9) = u 140 + 32N + (9 + 9n) = u Reorder the terms: 140 + 9 + 32N + 9n = u Combine like terms: 140 + 9 = 149 149 + 32N + 9n = u Solving 149 + 32N + 9n = u Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-149' to each side of the equation. 149 + 32N + -149 + 9n = -149 + u Reorder the terms: 149 + -149 + 32N + 9n = -149 + u Combine like terms: 149 + -149 = 0 0 + 32N + 9n = -149 + u 32N + 9n = -149 + u Add '-9n' to each side of the equation. 32N + 9n + -9n = -149 + -9n + u Combine like terms: 9n + -9n = 0 32N + 0 = -149 + -9n + u 32N = -149 + -9n + u Divide each side by '32'. N = -4.65625 + -0.28125n + 0.03125u Simplifying N = -4.65625 + -0.28125n + 0.03125u
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