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Simplifying 2b + 3(3b + 4) = 4(-1 + 3b) Reorder the terms: 2b + 3(4 + 3b) = 4(-1 + 3b) 2b + (4 * 3 + 3b * 3) = 4(-1 + 3b) 2b + (12 + 9b) = 4(-1 + 3b) Reorder the terms: 12 + 2b + 9b = 4(-1 + 3b) Combine like terms: 2b + 9b = 11b 12 + 11b = 4(-1 + 3b) 12 + 11b = (-1 * 4 + 3b * 4) 12 + 11b = (-4 + 12b) Solving 12 + 11b = -4 + 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. 12 + 11b + -12b = -4 + 12b + -12b Combine like terms: 11b + -12b = -1b 12 + -1b = -4 + 12b + -12b Combine like terms: 12b + -12b = 0 12 + -1b = -4 + 0 12 + -1b = -4 Add '-12' to each side of the equation. 12 + -12 + -1b = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = -4 + -12 -1b = -4 + -12 Combine like terms: -4 + -12 = -16 -1b = -16 Divide each side by '-1'. b = 16 Simplifying b = 16
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