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Simplifying -5(-2 + -5n) + 5(7n + -8) = 30 (-2 * -5 + -5n * -5) + 5(7n + -8) = 30 (10 + 25n) + 5(7n + -8) = 30 Reorder the terms: 10 + 25n + 5(-8 + 7n) = 30 10 + 25n + (-8 * 5 + 7n * 5) = 30 10 + 25n + (-40 + 35n) = 30 Reorder the terms: 10 + -40 + 25n + 35n = 30 Combine like terms: 10 + -40 = -30 -30 + 25n + 35n = 30 Combine like terms: 25n + 35n = 60n -30 + 60n = 30 Solving -30 + 60n = 30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 60n = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 60n = 30 + 30 60n = 30 + 30 Combine like terms: 30 + 30 = 60 60n = 60 Divide each side by '60'. n = 1 Simplifying n = 1
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