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Simplifying 6(N) + 9 = -3(N) + -21 + -6 Reorder the terms: 9 + 6N = -3(N) + -21 + -6 Reorder the terms: 9 + 6N = -21 + -6 + -3N Combine like terms: -21 + -6 = -27 9 + 6N = -27 + -3N Solving 9 + 6N = -27 + -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. 9 + 6N + 3N = -27 + -3N + 3N Combine like terms: 6N + 3N = 9N 9 + 9N = -27 + -3N + 3N Combine like terms: -3N + 3N = 0 9 + 9N = -27 + 0 9 + 9N = -27 Add '-9' to each side of the equation. 9 + -9 + 9N = -27 + -9 Combine like terms: 9 + -9 = 0 0 + 9N = -27 + -9 9N = -27 + -9 Combine like terms: -27 + -9 = -36 9N = -36 Divide each side by '9'. N = -4 Simplifying N = -4
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