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Simplifying 11(b + 18) + -6(2b + 1) = 4(-1b + 9) Reorder the terms: 11(18 + b) + -6(2b + 1) = 4(-1b + 9) (18 * 11 + b * 11) + -6(2b + 1) = 4(-1b + 9) (198 + 11b) + -6(2b + 1) = 4(-1b + 9) Reorder the terms: 198 + 11b + -6(1 + 2b) = 4(-1b + 9) 198 + 11b + (1 * -6 + 2b * -6) = 4(-1b + 9) 198 + 11b + (-6 + -12b) = 4(-1b + 9) Reorder the terms: 198 + -6 + 11b + -12b = 4(-1b + 9) Combine like terms: 198 + -6 = 192 192 + 11b + -12b = 4(-1b + 9) Combine like terms: 11b + -12b = -1b 192 + -1b = 4(-1b + 9) Reorder the terms: 192 + -1b = 4(9 + -1b) 192 + -1b = (9 * 4 + -1b * 4) 192 + -1b = (36 + -4b) Solving 192 + -1b = 36 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 192 + -1b + 4b = 36 + -4b + 4b Combine like terms: -1b + 4b = 3b 192 + 3b = 36 + -4b + 4b Combine like terms: -4b + 4b = 0 192 + 3b = 36 + 0 192 + 3b = 36 Add '-192' to each side of the equation. 192 + -192 + 3b = 36 + -192 Combine like terms: 192 + -192 = 0 0 + 3b = 36 + -192 3b = 36 + -192 Combine like terms: 36 + -192 = -156 3b = -156 Divide each side by '3'. b = -52 Simplifying b = -52
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