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Simplifying -5N + 10 = -3N + -12 Reorder the terms: 10 + -5N = -3N + -12 Reorder the terms: 10 + -5N = -12 + -3N Solving 10 + -5N = -12 + -3N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '3N' to each side of the equation. 10 + -5N + 3N = -12 + -3N + 3N Combine like terms: -5N + 3N = -2N 10 + -2N = -12 + -3N + 3N Combine like terms: -3N + 3N = 0 10 + -2N = -12 + 0 10 + -2N = -12 Add '-10' to each side of the equation. 10 + -10 + -2N = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -2N = -12 + -10 -2N = -12 + -10 Combine like terms: -12 + -10 = -22 -2N = -22 Divide each side by '-2'. N = 11 Simplifying N = 11
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