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Simplifying -8(n + 7) = -24 + 8n Reorder the terms: -8(7 + n) = -24 + 8n (7 * -8 + n * -8) = -24 + 8n (-56 + -8n) = -24 + 8n Solving -56 + -8n = -24 + 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 + -8n + -8n = -24 + 8n + -8n Combine like terms: -8n + -8n = -16n -56 + -16n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 -56 + -16n = -24 + 0 -56 + -16n = -24 Add '56' to each side of the equation. -56 + 56 + -16n = -24 + 56 Combine like terms: -56 + 56 = 0 0 + -16n = -24 + 56 -16n = -24 + 56 Combine like terms: -24 + 56 = 32 -16n = 32 Divide each side by '-16'. n = -2 Simplifying n = -2
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