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Simplifying 5(7n + -8) + 2(n + 2) = 75 Reorder the terms: 5(-8 + 7n) + 2(n + 2) = 75 (-8 * 5 + 7n * 5) + 2(n + 2) = 75 (-40 + 35n) + 2(n + 2) = 75 Reorder the terms: -40 + 35n + 2(2 + n) = 75 -40 + 35n + (2 * 2 + n * 2) = 75 -40 + 35n + (4 + 2n) = 75 Reorder the terms: -40 + 4 + 35n + 2n = 75 Combine like terms: -40 + 4 = -36 -36 + 35n + 2n = 75 Combine like terms: 35n + 2n = 37n -36 + 37n = 75 Solving -36 + 37n = 75 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 37n = 75 + 36 Combine like terms: -36 + 36 = 0 0 + 37n = 75 + 36 37n = 75 + 36 Combine like terms: 75 + 36 = 111 37n = 111 Divide each side by '37'. n = 3 Simplifying n = 3
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