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Simplifying -4(2n + 8) + -5n = -97 Reorder the terms: -4(8 + 2n) + -5n = -97 (8 * -4 + 2n * -4) + -5n = -97 (-32 + -8n) + -5n = -97 Combine like terms: -8n + -5n = -13n -32 + -13n = -97 Solving -32 + -13n = -97 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -13n = -97 + 32 Combine like terms: -32 + 32 = 0 0 + -13n = -97 + 32 -13n = -97 + 32 Combine like terms: -97 + 32 = -65 -13n = -65 Divide each side by '-13'. n = 5 Simplifying n = 5
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