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Simplifying 4(1 + -3b) + 11(b + 2) = -3 + 2b (1 * 4 + -3b * 4) + 11(b + 2) = -3 + 2b (4 + -12b) + 11(b + 2) = -3 + 2b Reorder the terms: 4 + -12b + 11(2 + b) = -3 + 2b 4 + -12b + (2 * 11 + b * 11) = -3 + 2b 4 + -12b + (22 + 11b) = -3 + 2b Reorder the terms: 4 + 22 + -12b + 11b = -3 + 2b Combine like terms: 4 + 22 = 26 26 + -12b + 11b = -3 + 2b Combine like terms: -12b + 11b = -1b 26 + -1b = -3 + 2b Solving 26 + -1b = -3 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 26 + -1b + -2b = -3 + 2b + -2b Combine like terms: -1b + -2b = -3b 26 + -3b = -3 + 2b + -2b Combine like terms: 2b + -2b = 0 26 + -3b = -3 + 0 26 + -3b = -3 Add '-26' to each side of the equation. 26 + -26 + -3b = -3 + -26 Combine like terms: 26 + -26 = 0 0 + -3b = -3 + -26 -3b = -3 + -26 Combine like terms: -3 + -26 = -29 -3b = -29 Divide each side by '-3'. b = 9.666666667 Simplifying b = 9.666666667
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