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Simplifying N + 2 + 4n = 7(n + 12) + 2(n + -11) Reorder the terms: 2 + N + 4n = 7(n + 12) + 2(n + -11) Reorder the terms: 2 + N + 4n = 7(12 + n) + 2(n + -11) 2 + N + 4n = (12 * 7 + n * 7) + 2(n + -11) 2 + N + 4n = (84 + 7n) + 2(n + -11) Reorder the terms: 2 + N + 4n = 84 + 7n + 2(-11 + n) 2 + N + 4n = 84 + 7n + (-11 * 2 + n * 2) 2 + N + 4n = 84 + 7n + (-22 + 2n) Reorder the terms: 2 + N + 4n = 84 + -22 + 7n + 2n Combine like terms: 84 + -22 = 62 2 + N + 4n = 62 + 7n + 2n Combine like terms: 7n + 2n = 9n 2 + N + 4n = 62 + 9n Solving 2 + N + 4n = 62 + 9n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + N + -2 + 4n = 62 + -2 + 9n Reorder the terms: 2 + -2 + N + 4n = 62 + -2 + 9n Combine like terms: 2 + -2 = 0 0 + N + 4n = 62 + -2 + 9n N + 4n = 62 + -2 + 9n Combine like terms: 62 + -2 = 60 N + 4n = 60 + 9n Add '-4n' to each side of the equation. N + 4n + -4n = 60 + 9n + -4n Combine like terms: 4n + -4n = 0 N + 0 = 60 + 9n + -4n N = 60 + 9n + -4n Combine like terms: 9n + -4n = 5n N = 60 + 5n Simplifying N = 60 + 5n
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