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Simplifying 92 = 4(b + 1) + 7b Reorder the terms: 92 = 4(1 + b) + 7b 92 = (1 * 4 + b * 4) + 7b 92 = (4 + 4b) + 7b Combine like terms: 4b + 7b = 11b 92 = 4 + 11b Solving 92 = 4 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 92 + -11b = 4 + 11b + -11b Combine like terms: 11b + -11b = 0 92 + -11b = 4 + 0 92 + -11b = 4 Add '-92' to each side of the equation. 92 + -92 + -11b = 4 + -92 Combine like terms: 92 + -92 = 0 0 + -11b = 4 + -92 -11b = 4 + -92 Combine like terms: 4 + -92 = -88 -11b = -88 Divide each side by '-11'. b = 8 Simplifying b = 8
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