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Simplifying 2[4 + -1(2 + b)] = -3[4(2b + 5) + -7] 2[4 + (2 * -1 + b * -1)] = -3[4(2b + 5) + -7] 2[4 + (-2 + -1b)] = -3[4(2b + 5) + -7] Combine like terms: 4 + -2 = 2 2[2 + -1b] = -3[4(2b + 5) + -7] [2 * 2 + -1b * 2] = -3[4(2b + 5) + -7] [4 + -2b] = -3[4(2b + 5) + -7] Reorder the terms: 4 + -2b = -3[4(5 + 2b) + -7] 4 + -2b = -3[(5 * 4 + 2b * 4) + -7] 4 + -2b = -3[(20 + 8b) + -7] Reorder the terms: 4 + -2b = -3[20 + -7 + 8b] Combine like terms: 20 + -7 = 13 4 + -2b = -3[13 + 8b] 4 + -2b = [13 * -3 + 8b * -3] 4 + -2b = [-39 + -24b] Solving 4 + -2b = -39 + -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 = -39 + -24b + 24b Combine like terms: -2b + 24b = 22b 4 + 22b = -39 + -24b + 24b Combine like terms: -24b + 24b = 0 4 + 22b = -39 + 0 4 + 22b = -39 Add '-4' to each side of the equation. 4 + -4 + 22b = -39 + -4 Combine like terms: 4 + -4 = 0 0 + 22b = -39 + -4 22b = -39 + -4 Combine like terms: -39 + -4 = -43 22b = -43 Divide each side by '22'. b = -1.954545455 Simplifying b = -1.954545455
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