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Simplifying -2(3N + 5) + 3(4N + -2) = 0 Reorder the terms: -2(5 + 3N) + 3(4N + -2) = 0 (5 * -2 + 3N * -2) + 3(4N + -2) = 0 (-10 + -6N) + 3(4N + -2) = 0 Reorder the terms: -10 + -6N + 3(-2 + 4N) = 0 -10 + -6N + (-2 * 3 + 4N * 3) = 0 -10 + -6N + (-6 + 12N) = 0 Reorder the terms: -10 + -6 + -6N + 12N = 0 Combine like terms: -10 + -6 = -16 -16 + -6N + 12N = 0 Combine like terms: -6N + 12N = 6N -16 + 6N = 0 Solving -16 + 6N = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 6N = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 6N = 0 + 16 6N = 0 + 16 Combine like terms: 0 + 16 = 16 6N = 16 Divide each side by '6'. N = 2.666666667 Simplifying N = 2.666666667
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