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Simplifying -2[6 + -1(4b + 8)] + -4 = 4(5 + b) Reorder the terms: -2[6 + -1(8 + 4b)] + -4 = 4(5 + b) -2[6 + (8 * -1 + 4b * -1)] + -4 = 4(5 + b) -2[6 + (-8 + -4b)] + -4 = 4(5 + b) Combine like terms: 6 + -8 = -2 -2[-2 + -4b] + -4 = 4(5 + b) [-2 * -2 + -4b * -2] + -4 = 4(5 + b) [4 + 8b] + -4 = 4(5 + b) Reorder the terms: 4 + -4 + 8b = 4(5 + b) Combine like terms: 4 + -4 = 0 0 + 8b = 4(5 + b) 8b = 4(5 + b) 8b = (5 * 4 + b * 4) 8b = (20 + 4b) Solving 8b = 20 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 8b + -4b = 20 + 4b + -4b Combine like terms: 8b + -4b = 4b 4b = 20 + 4b + -4b Combine like terms: 4b + -4b = 0 4b = 20 + 0 4b = 20 Divide each side by '4'. b = 5 Simplifying b = 5
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