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Simplifying 5(4n + -8) = 38 + 7n Reorder the terms: 5(-8 + 4n) = 38 + 7n (-8 * 5 + 4n * 5) = 38 + 7n (-40 + 20n) = 38 + 7n Solving -40 + 20n = 38 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -40 + 20n + -7n = 38 + 7n + -7n Combine like terms: 20n + -7n = 13n -40 + 13n = 38 + 7n + -7n Combine like terms: 7n + -7n = 0 -40 + 13n = 38 + 0 -40 + 13n = 38 Add '40' to each side of the equation. -40 + 40 + 13n = 38 + 40 Combine like terms: -40 + 40 = 0 0 + 13n = 38 + 40 13n = 38 + 40 Combine like terms: 38 + 40 = 78 13n = 78 Divide each side by '13'. n = 6 Simplifying n = 6
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