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Simplifying N + -4 = 3N + 6 Reorder the terms: -4 + N = 3N + 6 Reorder the terms: -4 + N = 6 + 3N Solving -4 + N = 6 + 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. -4 + N + -3N = 6 + 3N + -3N Combine like terms: N + -3N = -2N -4 + -2N = 6 + 3N + -3N Combine like terms: 3N + -3N = 0 -4 + -2N = 6 + 0 -4 + -2N = 6 Add '4' to each side of the equation. -4 + 4 + -2N = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2N = 6 + 4 -2N = 6 + 4 Combine like terms: 6 + 4 = 10 -2N = 10 Divide each side by '-2'. N = -5 Simplifying N = -5
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