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Simplifying -5(-5n + 8) + -8n = 20 + 7n Reorder the terms: -5(8 + -5n) + -8n = 20 + 7n (8 * -5 + -5n * -5) + -8n = 20 + 7n (-40 + 25n) + -8n = 20 + 7n Combine like terms: 25n + -8n = 17n -40 + 17n = 20 + 7n Solving -40 + 17n = 20 + 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 + 17n + -7n = 20 + 7n + -7n Combine like terms: 17n + -7n = 10n -40 + 10n = 20 + 7n + -7n Combine like terms: 7n + -7n = 0 -40 + 10n = 20 + 0 -40 + 10n = 20 Add '40' to each side of the equation. -40 + 40 + 10n = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 10n = 20 + 40 10n = 20 + 40 Combine like terms: 20 + 40 = 60 10n = 60 Divide each side by '10'. n = 6 Simplifying n = 6
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