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Simplifying 4N + 12 = 6N + -18 Reorder the terms: 12 + 4N = 6N + -18 Reorder the terms: 12 + 4N = -18 + 6N Solving 12 + 4N = -18 + 6N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-6N' to each side of the equation. 12 + 4N + -6N = -18 + 6N + -6N Combine like terms: 4N + -6N = -2N 12 + -2N = -18 + 6N + -6N Combine like terms: 6N + -6N = 0 12 + -2N = -18 + 0 12 + -2N = -18 Add '-12' to each side of the equation. 12 + -12 + -2N = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -2N = -18 + -12 -2N = -18 + -12 Combine like terms: -18 + -12 = -30 -2N = -30 Divide each side by '-2'. N = 15 Simplifying N = 15
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