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Simplifying -2 + -2(8n + 5) = 116 Reorder the terms: -2 + -2(5 + 8n) = 116 -2 + (5 * -2 + 8n * -2) = 116 -2 + (-10 + -16n) = 116 Combine like terms: -2 + -10 = -12 -12 + -16n = 116 Solving -12 + -16n = 116 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -16n = 116 + 12 Combine like terms: -12 + 12 = 0 0 + -16n = 116 + 12 -16n = 116 + 12 Combine like terms: 116 + 12 = 128 -16n = 128 Divide each side by '-16'. n = -8 Simplifying n = -8
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