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Simplifying 2[4 + -1(2 + b)] = 3[4(2b + 5)] 2[4 + (2 * -1 + b * -1)] = 3[4(2b + 5)] 2[4 + (-2 + -1b)] = 3[4(2b + 5)] Combine like terms: 4 + -2 = 2 2[2 + -1b] = 3[4(2b + 5)] [2 * 2 + -1b * 2] = 3[4(2b + 5)] [4 + -2b] = 3[4(2b + 5)] Reorder the terms: 4 + -2b = 3[4(5 + 2b)] 4 + -2b = 3[(5 * 4 + 2b * 4)] 4 + -2b = 3[(20 + 8b)] 4 + -2b = [20 * 3 + 8b * 3] 4 + -2b = [60 + 24b] Solving 4 + -2b = 60 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 4 + -2b + -24b = 60 + 24b + -24b Combine like terms: -2b + -24b = -26b 4 + -26b = 60 + 24b + -24b Combine like terms: 24b + -24b = 0 4 + -26b = 60 + 0 4 + -26b = 60 Add '-4' to each side of the equation. 4 + -4 + -26b = 60 + -4 Combine like terms: 4 + -4 = 0 0 + -26b = 60 + -4 -26b = 60 + -4 Combine like terms: 60 + -4 = 56 -26b = 56 Divide each side by '-26'. b = -2.153846154 Simplifying b = -2.153846154
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