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Simplifying -4[4 + -1(3b + 4)] = 7 + -4(3b + 8) Reorder the terms: -4[4 + -1(4 + 3b)] = 7 + -4(3b + 8) -4[4 + (4 * -1 + 3b * -1)] = 7 + -4(3b + 8) -4[4 + (-4 + -3b)] = 7 + -4(3b + 8) Combine like terms: 4 + -4 = 0 -4[0 + -3b] = 7 + -4(3b + 8) -4[-3b] = 7 + -4(3b + 8) Remove brackets around [-3b] -4 * -3b = 7 + -4(3b + 8) Multiply -4 * -3 12b = 7 + -4(3b + 8) Reorder the terms: 12b = 7 + -4(8 + 3b) 12b = 7 + (8 * -4 + 3b * -4) 12b = 7 + (-32 + -12b) Combine like terms: 7 + -32 = -25 12b = -25 + -12b Solving 12b = -25 + -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. 12b + 12b = -25 + -12b + 12b Combine like terms: 12b + 12b = 24b 24b = -25 + -12b + 12b Combine like terms: -12b + 12b = 0 24b = -25 + 0 24b = -25 Divide each side by '24'. b = -1.041666667 Simplifying b = -1.041666667
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