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Simplifying 3(6n + 32) + 5(N + 1) = u Reorder the terms: 3(32 + 6n) + 5(N + 1) = u (32 * 3 + 6n * 3) + 5(N + 1) = u (96 + 18n) + 5(N + 1) = u Reorder the terms: 96 + 18n + 5(1 + N) = u 96 + 18n + (1 * 5 + N * 5) = u 96 + 18n + (5 + 5N) = u Reorder the terms: 96 + 5 + 5N + 18n = u Combine like terms: 96 + 5 = 101 101 + 5N + 18n = u Solving 101 + 5N + 18n = u Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + 5N + -101 + 18n = -101 + u Reorder the terms: 101 + -101 + 5N + 18n = -101 + u Combine like terms: 101 + -101 = 0 0 + 5N + 18n = -101 + u 5N + 18n = -101 + u Add '-18n' to each side of the equation. 5N + 18n + -18n = -101 + -18n + u Combine like terms: 18n + -18n = 0 5N + 0 = -101 + -18n + u 5N = -101 + -18n + u Divide each side by '5'. N = -20.2 + -3.6n + 0.2u Simplifying N = -20.2 + -3.6n + 0.2u
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