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Simplifying 6N + 3 + 7N = 51 + 7N Reorder the terms: 3 + 6N + 7N = 51 + 7N Combine like terms: 6N + 7N = 13N 3 + 13N = 51 + 7N Solving 3 + 13N = 51 + 7N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-7N' to each side of the equation. 3 + 13N + -7N = 51 + 7N + -7N Combine like terms: 13N + -7N = 6N 3 + 6N = 51 + 7N + -7N Combine like terms: 7N + -7N = 0 3 + 6N = 51 + 0 3 + 6N = 51 Add '-3' to each side of the equation. 3 + -3 + 6N = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 6N = 51 + -3 6N = 51 + -3 Combine like terms: 51 + -3 = 48 6N = 48 Divide each side by '6'. N = 8 Simplifying N = 8
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