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Simplifying 0.5(12N + 4) = 14 + 10N Reorder the terms: 0.5(4 + 12N) = 14 + 10N (4 * 0.5 + 12N * 0.5) = 14 + 10N (2 + 6N) = 14 + 10N Solving 2 + 6N = 14 + 10N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-10N' to each side of the equation. 2 + 6N + -10N = 14 + 10N + -10N Combine like terms: 6N + -10N = -4N 2 + -4N = 14 + 10N + -10N Combine like terms: 10N + -10N = 0 2 + -4N = 14 + 0 2 + -4N = 14 Add '-2' to each side of the equation. 2 + -2 + -4N = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -4N = 14 + -2 -4N = 14 + -2 Combine like terms: 14 + -2 = 12 -4N = 12 Divide each side by '-4'. N = -3 Simplifying N = -3
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