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Simplifying 10N + 5 = 4N + -6 Reorder the terms: 5 + 10N = 4N + -6 Reorder the terms: 5 + 10N = -6 + 4N Solving 5 + 10N = -6 + 4N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-4N' to each side of the equation. 5 + 10N + -4N = -6 + 4N + -4N Combine like terms: 10N + -4N = 6N 5 + 6N = -6 + 4N + -4N Combine like terms: 4N + -4N = 0 5 + 6N = -6 + 0 5 + 6N = -6 Add '-5' to each side of the equation. 5 + -5 + 6N = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 6N = -6 + -5 6N = -6 + -5 Combine like terms: -6 + -5 = -11 6N = -11 Divide each side by '6'. N = -1.833333333 Simplifying N = -1.833333333
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