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Simplifying 8(2N + -5) = 3(5n + 2) Reorder the terms: 8(-5 + 2N) = 3(5n + 2) (-5 * 8 + 2N * 8) = 3(5n + 2) (-40 + 16N) = 3(5n + 2) Reorder the terms: -40 + 16N = 3(2 + 5n) -40 + 16N = (2 * 3 + 5n * 3) -40 + 16N = (6 + 15n) Solving -40 + 16N = 6 + 15n Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 16N = 6 + 40 + 15n Combine like terms: -40 + 40 = 0 0 + 16N = 6 + 40 + 15n 16N = 6 + 40 + 15n Combine like terms: 6 + 40 = 46 16N = 46 + 15n Divide each side by '16'. N = 2.875 + 0.9375n Simplifying N = 2.875 + 0.9375n
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