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Simplifying -3(4N + 5) + 3(5N + -2) = 0 Reorder the terms: -3(5 + 4N) + 3(5N + -2) = 0 (5 * -3 + 4N * -3) + 3(5N + -2) = 0 (-15 + -12N) + 3(5N + -2) = 0 Reorder the terms: -15 + -12N + 3(-2 + 5N) = 0 -15 + -12N + (-2 * 3 + 5N * 3) = 0 -15 + -12N + (-6 + 15N) = 0 Reorder the terms: -15 + -6 + -12N + 15N = 0 Combine like terms: -15 + -6 = -21 -21 + -12N + 15N = 0 Combine like terms: -12N + 15N = 3N -21 + 3N = 0 Solving -21 + 3N = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3N = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3N = 0 + 21 3N = 0 + 21 Combine like terms: 0 + 21 = 21 3N = 21 Divide each side by '3'. N = 7 Simplifying N = 7
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