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Simplifying 5x + 3(N + 3) = 7y Reorder the terms: 5x + 3(3 + N) = 7y 5x + (3 * 3 + N * 3) = 7y 5x + (9 + 3N) = 7y Reorder the terms: 9 + 3N + 5x = 7y Solving 9 + 3N + 5x = 7y Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3N + -9 + 5x = -9 + 7y Reorder the terms: 9 + -9 + 3N + 5x = -9 + 7y Combine like terms: 9 + -9 = 0 0 + 3N + 5x = -9 + 7y 3N + 5x = -9 + 7y Add '-5x' to each side of the equation. 3N + 5x + -5x = -9 + -5x + 7y Combine like terms: 5x + -5x = 0 3N + 0 = -9 + -5x + 7y 3N = -9 + -5x + 7y Divide each side by '3'. N = -3 + -1.666666667x + 2.333333333y Simplifying N = -3 + -1.666666667x + 2.333333333y
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