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Simplifying 92 = 3(1 + -4b) + -7 92 = (1 * 3 + -4b * 3) + -7 92 = (3 + -12b) + -7 Reorder the terms: 92 = 3 + -7 + -12b Combine like terms: 3 + -7 = -4 92 = -4 + -12b Solving 92 = -4 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 92 + 12b = -4 + -12b + 12b Combine like terms: -12b + 12b = 0 92 + 12b = -4 + 0 92 + 12b = -4 Add '-92' to each side of the equation. 92 + -92 + 12b = -4 + -92 Combine like terms: 92 + -92 = 0 0 + 12b = -4 + -92 12b = -4 + -92 Combine like terms: -4 + -92 = -96 12b = -96 Divide each side by '12'. b = -8 Simplifying b = -8
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