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Simplifying 8(2 + -4b) + 3(5 + -1b) = 4(1 + -9b) + 22 (2 * 8 + -4b * 8) + 3(5 + -1b) = 4(1 + -9b) + 22 (16 + -32b) + 3(5 + -1b) = 4(1 + -9b) + 22 16 + -32b + (5 * 3 + -1b * 3) = 4(1 + -9b) + 22 16 + -32b + (15 + -3b) = 4(1 + -9b) + 22 Reorder the terms: 16 + 15 + -32b + -3b = 4(1 + -9b) + 22 Combine like terms: 16 + 15 = 31 31 + -32b + -3b = 4(1 + -9b) + 22 Combine like terms: -32b + -3b = -35b 31 + -35b = 4(1 + -9b) + 22 31 + -35b = (1 * 4 + -9b * 4) + 22 31 + -35b = (4 + -36b) + 22 Reorder the terms: 31 + -35b = 4 + 22 + -36b Combine like terms: 4 + 22 = 26 31 + -35b = 26 + -36b Solving 31 + -35b = 26 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. 31 + -35b + 36b = 26 + -36b + 36b Combine like terms: -35b + 36b = 1b 31 + 1b = 26 + -36b + 36b Combine like terms: -36b + 36b = 0 31 + 1b = 26 + 0 31 + 1b = 26 Add '-31' to each side of the equation. 31 + -31 + 1b = 26 + -31 Combine like terms: 31 + -31 = 0 0 + 1b = 26 + -31 1b = 26 + -31 Combine like terms: 26 + -31 = -5 1b = -5 Divide each side by '1'. b = -5 Simplifying b = -5
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