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Simplifying 8N + -0.5(4N + 6) = 28 + 2(2 + -4N) Reorder the terms: 8N + -0.5(6 + 4N) = 28 + 2(2 + -4N) 8N + (6 * -0.5 + 4N * -0.5) = 28 + 2(2 + -4N) 8N + (-3 + -2N) = 28 + 2(2 + -4N) Reorder the terms: -3 + 8N + -2N = 28 + 2(2 + -4N) Combine like terms: 8N + -2N = 6N -3 + 6N = 28 + 2(2 + -4N) -3 + 6N = 28 + (2 * 2 + -4N * 2) -3 + 6N = 28 + (4 + -8N) Combine like terms: 28 + 4 = 32 -3 + 6N = 32 + -8N Solving -3 + 6N = 32 + -8N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '8N' to each side of the equation. -3 + 6N + 8N = 32 + -8N + 8N Combine like terms: 6N + 8N = 14N -3 + 14N = 32 + -8N + 8N Combine like terms: -8N + 8N = 0 -3 + 14N = 32 + 0 -3 + 14N = 32 Add '3' to each side of the equation. -3 + 3 + 14N = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 14N = 32 + 3 14N = 32 + 3 Combine like terms: 32 + 3 = 35 14N = 35 Divide each side by '14'. N = 2.5 Simplifying N = 2.5
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