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Simplifying 7N + -3 = 2N + 42 Reorder the terms: -3 + 7N = 2N + 42 Reorder the terms: -3 + 7N = 42 + 2N Solving -3 + 7N = 42 + 2N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-2N' to each side of the equation. -3 + 7N + -2N = 42 + 2N + -2N Combine like terms: 7N + -2N = 5N -3 + 5N = 42 + 2N + -2N Combine like terms: 2N + -2N = 0 -3 + 5N = 42 + 0 -3 + 5N = 42 Add '3' to each side of the equation. -3 + 3 + 5N = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 5N = 42 + 3 5N = 42 + 3 Combine like terms: 42 + 3 = 45 5N = 45 Divide each side by '5'. N = 9 Simplifying N = 9
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