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