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Simplifying N + -12 = 3N + 10 Reorder the terms: -12 + N = 3N + 10 Reorder the terms: -12 + N = 10 + 3N Solving -12 + N = 10 + 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. -12 + N + -3N = 10 + 3N + -3N Combine like terms: N + -3N = -2N -12 + -2N = 10 + 3N + -3N Combine like terms: 3N + -3N = 0 -12 + -2N = 10 + 0 -12 + -2N = 10 Add '12' to each side of the equation. -12 + 12 + -2N = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -2N = 10 + 12 -2N = 10 + 12 Combine like terms: 10 + 12 = 22 -2N = 22 Divide each side by '-2'. N = -11 Simplifying N = -11
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