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Simplifying 8(8n + -4) + -1 = -289 Reorder the terms: 8(-4 + 8n) + -1 = -289 (-4 * 8 + 8n * 8) + -1 = -289 (-32 + 64n) + -1 = -289 Reorder the terms: -32 + -1 + 64n = -289 Combine like terms: -32 + -1 = -33 -33 + 64n = -289 Solving -33 + 64n = -289 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 64n = -289 + 33 Combine like terms: -33 + 33 = 0 0 + 64n = -289 + 33 64n = -289 + 33 Combine like terms: -289 + 33 = -256 64n = -256 Divide each side by '64'. n = -4 Simplifying n = -4
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