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Simplifying 4(4n + -20) = 3(8n + -40) Reorder the terms: 4(-20 + 4n) = 3(8n + -40) (-20 * 4 + 4n * 4) = 3(8n + -40) (-80 + 16n) = 3(8n + -40) Reorder the terms: -80 + 16n = 3(-40 + 8n) -80 + 16n = (-40 * 3 + 8n * 3) -80 + 16n = (-120 + 24n) Solving -80 + 16n = -120 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -80 + 16n + -24n = -120 + 24n + -24n Combine like terms: 16n + -24n = -8n -80 + -8n = -120 + 24n + -24n Combine like terms: 24n + -24n = 0 -80 + -8n = -120 + 0 -80 + -8n = -120 Add '80' to each side of the equation. -80 + 80 + -8n = -120 + 80 Combine like terms: -80 + 80 = 0 0 + -8n = -120 + 80 -8n = -120 + 80 Combine like terms: -120 + 80 = -40 -8n = -40 Divide each side by '-8'. n = 5 Simplifying n = 5
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