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Simplifying -15N + -8N + 10 = -13N + -6N + -14 Reorder the terms: 10 + -15N + -8N = -13N + -6N + -14 Combine like terms: -15N + -8N = -23N 10 + -23N = -13N + -6N + -14 Reorder the terms: 10 + -23N = -14 + -13N + -6N Combine like terms: -13N + -6N = -19N 10 + -23N = -14 + -19N Solving 10 + -23N = -14 + -19N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '19N' to each side of the equation. 10 + -23N + 19N = -14 + -19N + 19N Combine like terms: -23N + 19N = -4N 10 + -4N = -14 + -19N + 19N Combine like terms: -19N + 19N = 0 10 + -4N = -14 + 0 10 + -4N = -14 Add '-10' to each side of the equation. 10 + -10 + -4N = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -4N = -14 + -10 -4N = -14 + -10 Combine like terms: -14 + -10 = -24 -4N = -24 Divide each side by '-4'. N = 6 Simplifying N = 6
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