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Simplifying -92 = 4(8b + 1) Reorder the terms: -92 = 4(1 + 8b) -92 = (1 * 4 + 8b * 4) -92 = (4 + 32b) Solving -92 = 4 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. -92 + -32b = 4 + 32b + -32b Combine like terms: 32b + -32b = 0 -92 + -32b = 4 + 0 -92 + -32b = 4 Add '92' to each side of the equation. -92 + 92 + -32b = 4 + 92 Combine like terms: -92 + 92 = 0 0 + -32b = 4 + 92 -32b = 4 + 92 Combine like terms: 4 + 92 = 96 -32b = 96 Divide each side by '-32'. b = -3 Simplifying b = -3
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