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Simplifying 8(n + -5) = 9n + -6 Reorder the terms: 8(-5 + n) = 9n + -6 (-5 * 8 + n * 8) = 9n + -6 (-40 + 8n) = 9n + -6 Reorder the terms: -40 + 8n = -6 + 9n Solving -40 + 8n = -6 + 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 = -6 + 9n + -9n Combine like terms: 8n + -9n = -1n -40 + -1n = -6 + 9n + -9n Combine like terms: 9n + -9n = 0 -40 + -1n = -6 + 0 -40 + -1n = -6 Add '40' to each side of the equation. -40 + 40 + -1n = -6 + 40 Combine like terms: -40 + 40 = 0 0 + -1n = -6 + 40 -1n = -6 + 40 Combine like terms: -6 + 40 = 34 -1n = 34 Divide each side by '-1'. n = -34 Simplifying n = -34
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