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Simplifying 11(b + 18) + -6(2b + 1) = 0 Reorder the terms: 11(18 + b) + -6(2b + 1) = 0 (18 * 11 + b * 11) + -6(2b + 1) = 0 (198 + 11b) + -6(2b + 1) = 0 Reorder the terms: 198 + 11b + -6(1 + 2b) = 0 198 + 11b + (1 * -6 + 2b * -6) = 0 198 + 11b + (-6 + -12b) = 0 Reorder the terms: 198 + -6 + 11b + -12b = 0 Combine like terms: 198 + -6 = 192 192 + 11b + -12b = 0 Combine like terms: 11b + -12b = -1b 192 + -1b = 0 Solving 192 + -1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + -192 + -1b = 0 + -192 Combine like terms: 192 + -192 = 0 0 + -1b = 0 + -192 -1b = 0 + -192 Combine like terms: 0 + -192 = -192 -1b = -192 Divide each side by '-1'. b = 192 Simplifying b = 192
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