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Simplifying -8(3n + 7) = -40 + -8n Reorder the terms: -8(7 + 3n) = -40 + -8n (7 * -8 + 3n * -8) = -40 + -8n (-56 + -24n) = -40 + -8n Solving -56 + -24n = -40 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -56 + -24n + 8n = -40 + -8n + 8n Combine like terms: -24n + 8n = -16n -56 + -16n = -40 + -8n + 8n Combine like terms: -8n + 8n = 0 -56 + -16n = -40 + 0 -56 + -16n = -40 Add '56' to each side of the equation. -56 + 56 + -16n = -40 + 56 Combine like terms: -56 + 56 = 0 0 + -16n = -40 + 56 -16n = -40 + 56 Combine like terms: -40 + 56 = 16 -16n = 16 Divide each side by '-16'. n = -1 Simplifying n = -1
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