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Simplifying 8(n + 3) = -8(n + 1) Reorder the terms: 8(3 + n) = -8(n + 1) (3 * 8 + n * 8) = -8(n + 1) (24 + 8n) = -8(n + 1) Reorder the terms: 24 + 8n = -8(1 + n) 24 + 8n = (1 * -8 + n * -8) 24 + 8n = (-8 + -8n) Solving 24 + 8n = -8 + -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. 24 + 8n + 8n = -8 + -8n + 8n Combine like terms: 8n + 8n = 16n 24 + 16n = -8 + -8n + 8n Combine like terms: -8n + 8n = 0 24 + 16n = -8 + 0 24 + 16n = -8 Add '-24' to each side of the equation. 24 + -24 + 16n = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 16n = -8 + -24 16n = -8 + -24 Combine like terms: -8 + -24 = -32 16n = -32 Divide each side by '16'. n = -2 Simplifying n = -2
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