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Simplifying 8(2n + 7) = 4(2n + -8) Reorder the terms: 8(7 + 2n) = 4(2n + -8) (7 * 8 + 2n * 8) = 4(2n + -8) (56 + 16n) = 4(2n + -8) Reorder the terms: 56 + 16n = 4(-8 + 2n) 56 + 16n = (-8 * 4 + 2n * 4) 56 + 16n = (-32 + 8n) Solving 56 + 16n = -32 + 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 + 16n + -8n = -32 + 8n + -8n Combine like terms: 16n + -8n = 8n 56 + 8n = -32 + 8n + -8n Combine like terms: 8n + -8n = 0 56 + 8n = -32 + 0 56 + 8n = -32 Add '-56' to each side of the equation. 56 + -56 + 8n = -32 + -56 Combine like terms: 56 + -56 = 0 0 + 8n = -32 + -56 8n = -32 + -56 Combine like terms: -32 + -56 = -88 8n = -88 Divide each side by '8'. n = -11 Simplifying n = -11
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