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Simplifying -5 + 10(6n + -4) = 7 + 8n Reorder the terms: -5 + 10(-4 + 6n) = 7 + 8n -5 + (-4 * 10 + 6n * 10) = 7 + 8n -5 + (-40 + 60n) = 7 + 8n Combine like terms: -5 + -40 = -45 -45 + 60n = 7 + 8n Solving -45 + 60n = 7 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -45 + 60n + -8n = 7 + 8n + -8n Combine like terms: 60n + -8n = 52n -45 + 52n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 -45 + 52n = 7 + 0 -45 + 52n = 7 Add '45' to each side of the equation. -45 + 45 + 52n = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 52n = 7 + 45 52n = 7 + 45 Combine like terms: 7 + 45 = 52 52n = 52 Divide each side by '52'. n = 1 Simplifying n = 1
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