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Simplifying N + 4(-7n + 3) = 7n + 12 Reorder the terms: N + 4(3 + -7n) = 7n + 12 N + (3 * 4 + -7n * 4) = 7n + 12 N + (12 + -28n) = 7n + 12 Reorder the terms: 12 + N + -28n = 7n + 12 Reorder the terms: 12 + N + -28n = 12 + 7n Add '-12' to each side of the equation. 12 + N + -12 + -28n = 12 + -12 + 7n Reorder the terms: 12 + -12 + N + -28n = 12 + -12 + 7n Combine like terms: 12 + -12 = 0 0 + N + -28n = 12 + -12 + 7n N + -28n = 12 + -12 + 7n Combine like terms: 12 + -12 = 0 N + -28n = 0 + 7n N + -28n = 7n Solving N + -28n = 7n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '28n' to each side of the equation. N + -28n + 28n = 7n + 28n Combine like terms: -28n + 28n = 0 N + 0 = 7n + 28n N = 7n + 28n Combine like terms: 7n + 28n = 35n N = 35n Simplifying N = 35n
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