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Simplifying 3(N + 7) = 3 + -3(N + -8) Reorder the terms: 3(7 + N) = 3 + -3(N + -8) (7 * 3 + N * 3) = 3 + -3(N + -8) (21 + 3N) = 3 + -3(N + -8) Reorder the terms: 21 + 3N = 3 + -3(-8 + N) 21 + 3N = 3 + (-8 * -3 + N * -3) 21 + 3N = 3 + (24 + -3N) Combine like terms: 3 + 24 = 27 21 + 3N = 27 + -3N Solving 21 + 3N = 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. 21 + 3N + 3N = 27 + -3N + 3N Combine like terms: 3N + 3N = 6N 21 + 6N = 27 + -3N + 3N Combine like terms: -3N + 3N = 0 21 + 6N = 27 + 0 21 + 6N = 27 Add '-21' to each side of the equation. 21 + -21 + 6N = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 6N = 27 + -21 6N = 27 + -21 Combine like terms: 27 + -21 = 6 6N = 6 Divide each side by '6'. N = 1 Simplifying N = 1
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