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Simplifying -83 = 8(n + -4) + 5 Reorder the terms: -83 = 8(-4 + n) + 5 -83 = (-4 * 8 + n * 8) + 5 -83 = (-32 + 8n) + 5 Reorder the terms: -83 = -32 + 5 + 8n Combine like terms: -32 + 5 = -27 -83 = -27 + 8n Solving -83 = -27 + 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. -83 + -8n = -27 + 8n + -8n Combine like terms: 8n + -8n = 0 -83 + -8n = -27 + 0 -83 + -8n = -27 Add '83' to each side of the equation. -83 + 83 + -8n = -27 + 83 Combine like terms: -83 + 83 = 0 0 + -8n = -27 + 83 -8n = -27 + 83 Combine like terms: -27 + 83 = 56 -8n = 56 Divide each side by '-8'. n = -7 Simplifying n = -7
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