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Simplifying N + 12 + n + 10 = -12(n + -5) + 6(n + -1) Reorder the terms: 12 + 10 + N + n = -12(n + -5) + 6(n + -1) Combine like terms: 12 + 10 = 22 22 + N + n = -12(n + -5) + 6(n + -1) Reorder the terms: 22 + N + n = -12(-5 + n) + 6(n + -1) 22 + N + n = (-5 * -12 + n * -12) + 6(n + -1) 22 + N + n = (60 + -12n) + 6(n + -1) Reorder the terms: 22 + N + n = 60 + -12n + 6(-1 + n) 22 + N + n = 60 + -12n + (-1 * 6 + n * 6) 22 + N + n = 60 + -12n + (-6 + 6n) Reorder the terms: 22 + N + n = 60 + -6 + -12n + 6n Combine like terms: 60 + -6 = 54 22 + N + n = 54 + -12n + 6n Combine like terms: -12n + 6n = -6n 22 + N + n = 54 + -6n Solving 22 + N + n = 54 + -6n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + N + -22 + n = 54 + -22 + -6n Reorder the terms: 22 + -22 + N + n = 54 + -22 + -6n Combine like terms: 22 + -22 = 0 0 + N + n = 54 + -22 + -6n N + n = 54 + -22 + -6n Combine like terms: 54 + -22 = 32 N + n = 32 + -6n Add '-1n' to each side of the equation. N + n + -1n = 32 + -6n + -1n Combine like terms: n + -1n = 0 N + 0 = 32 + -6n + -1n N = 32 + -6n + -1n Combine like terms: -6n + -1n = -7n N = 32 + -7n Simplifying N = 32 + -7n
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