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Simplifying -8(n + 5) = -9n Reorder the terms: -8(5 + n) = -9n (5 * -8 + n * -8) = -9n (-40 + -8n) = -9n Solving -40 + -8n = -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -40 + -8n + 9n = -9n + 9n Combine like terms: -8n + 9n = 1n -40 + 1n = -9n + 9n Combine like terms: -9n + 9n = 0 -40 + 1n = 0 Add '40' to each side of the equation. -40 + 40 + 1n = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 1n = 0 + 40 1n = 0 + 40 Combine like terms: 0 + 40 = 40 1n = 40 Divide each side by '1'. n = 40 Simplifying n = 40
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