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Simplifying 8(n + -5) = 9 + -7n Reorder the terms: 8(-5 + n) = 9 + -7n (-5 * 8 + n * 8) = 9 + -7n (-40 + 8n) = 9 + -7n Solving -40 + 8n = 9 + -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 = 9 + -7n + 7n Combine like terms: 8n + 7n = 15n -40 + 15n = 9 + -7n + 7n Combine like terms: -7n + 7n = 0 -40 + 15n = 9 + 0 -40 + 15n = 9 Add '40' to each side of the equation. -40 + 40 + 15n = 9 + 40 Combine like terms: -40 + 40 = 0 0 + 15n = 9 + 40 15n = 9 + 40 Combine like terms: 9 + 40 = 49 15n = 49 Divide each side by '15'. n = 3.266666667 Simplifying n = 3.266666667
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