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Simplifying 8(n + -5) = 7n Reorder the terms: 8(-5 + n) = 7n (-5 * 8 + n * 8) = 7n (-40 + 8n) = 7n Solving -40 + 8n = 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 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -40 + 1n = 7n + -7n Combine like terms: 7n + -7n = 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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