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Simplifying -5(8 + 4n) = -6n + 3(-2n + -8) (8 * -5 + 4n * -5) = -6n + 3(-2n + -8) (-40 + -20n) = -6n + 3(-2n + -8) Reorder the terms: -40 + -20n = -6n + 3(-8 + -2n) -40 + -20n = -6n + (-8 * 3 + -2n * 3) -40 + -20n = -6n + (-24 + -6n) Reorder the terms: -40 + -20n = -24 + -6n + -6n Combine like terms: -6n + -6n = -12n -40 + -20n = -24 + -12n Solving -40 + -20n = -24 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -40 + -20n + 12n = -24 + -12n + 12n Combine like terms: -20n + 12n = -8n -40 + -8n = -24 + -12n + 12n Combine like terms: -12n + 12n = 0 -40 + -8n = -24 + 0 -40 + -8n = -24 Add '40' to each side of the equation. -40 + 40 + -8n = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -8n = -24 + 40 -8n = -24 + 40 Combine like terms: -24 + 40 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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