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Simplifying 5(3N + 2) + -2(1 + -4N) = 0 Reorder the terms: 5(2 + 3N) + -2(1 + -4N) = 0 (2 * 5 + 3N * 5) + -2(1 + -4N) = 0 (10 + 15N) + -2(1 + -4N) = 0 10 + 15N + (1 * -2 + -4N * -2) = 0 10 + 15N + (-2 + 8N) = 0 Reorder the terms: 10 + -2 + 15N + 8N = 0 Combine like terms: 10 + -2 = 8 8 + 15N + 8N = 0 Combine like terms: 15N + 8N = 23N 8 + 23N = 0 Solving 8 + 23N = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 23N = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 23N = 0 + -8 23N = 0 + -8 Combine like terms: 0 + -8 = -8 23N = -8 Divide each side by '23'. N = -0.347826087 Simplifying N = -0.347826087
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