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Simplifying 4(2 + -1b) + 3(1 + 3b) = 0 (2 * 4 + -1b * 4) + 3(1 + 3b) = 0 (8 + -4b) + 3(1 + 3b) = 0 8 + -4b + (1 * 3 + 3b * 3) = 0 8 + -4b + (3 + 9b) = 0 Reorder the terms: 8 + 3 + -4b + 9b = 0 Combine like terms: 8 + 3 = 11 11 + -4b + 9b = 0 Combine like terms: -4b + 9b = 5b 11 + 5b = 0 Solving 11 + 5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5b = 0 + -11 5b = 0 + -11 Combine like terms: 0 + -11 = -11 5b = -11 Divide each side by '5'. b = -2.2 Simplifying b = -2.2
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