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Simplifying 8N + (N + -5) * 4 + -9N = 2N + -15 Reorder the terms: 8N + (-5 + N) * 4 + -9N = 2N + -15 Reorder the terms for easier multiplication: 8N + 4(-5 + N) + -9N = 2N + -15 8N + (-5 * 4 + N * 4) + -9N = 2N + -15 8N + (-20 + 4N) + -9N = 2N + -15 Reorder the terms: -20 + 8N + 4N + -9N = 2N + -15 Combine like terms: 8N + 4N = 12N -20 + 12N + -9N = 2N + -15 Combine like terms: 12N + -9N = 3N -20 + 3N = 2N + -15 Reorder the terms: -20 + 3N = -15 + 2N Solving -20 + 3N = -15 + 2N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-2N' to each side of the equation. -20 + 3N + -2N = -15 + 2N + -2N Combine like terms: 3N + -2N = 1N -20 + 1N = -15 + 2N + -2N Combine like terms: 2N + -2N = 0 -20 + 1N = -15 + 0 -20 + 1N = -15 Add '20' to each side of the equation. -20 + 20 + 1N = -15 + 20 Combine like terms: -20 + 20 = 0 0 + 1N = -15 + 20 1N = -15 + 20 Combine like terms: -15 + 20 = 5 1N = 5 Divide each side by '1'. N = 5 Simplifying N = 5
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