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Simplifying 12 + 6N = -2(6 + -5N) 12 + 6N = (6 * -2 + -5N * -2) 12 + 6N = (-12 + 10N) Solving 12 + 6N = -12 + 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. 12 + 6N + -10N = -12 + 10N + -10N Combine like terms: 6N + -10N = -4N 12 + -4N = -12 + 10N + -10N Combine like terms: 10N + -10N = 0 12 + -4N = -12 + 0 12 + -4N = -12 Add '-12' to each side of the equation. 12 + -12 + -4N = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4N = -12 + -12 -4N = -12 + -12 Combine like terms: -12 + -12 = -24 -4N = -24 Divide each side by '-4'. N = 6 Simplifying N = 6
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