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Simplifying -8(-4 + -12b) + 4b = 12(8b + 3) (-4 * -8 + -12b * -8) + 4b = 12(8b + 3) (32 + 96b) + 4b = 12(8b + 3) Combine like terms: 96b + 4b = 100b 32 + 100b = 12(8b + 3) Reorder the terms: 32 + 100b = 12(3 + 8b) 32 + 100b = (3 * 12 + 8b * 12) 32 + 100b = (36 + 96b) Solving 32 + 100b = 36 + 96b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-96b' to each side of the equation. 32 + 100b + -96b = 36 + 96b + -96b Combine like terms: 100b + -96b = 4b 32 + 4b = 36 + 96b + -96b Combine like terms: 96b + -96b = 0 32 + 4b = 36 + 0 32 + 4b = 36 Add '-32' to each side of the equation. 32 + -32 + 4b = 36 + -32 Combine like terms: 32 + -32 = 0 0 + 4b = 36 + -32 4b = 36 + -32 Combine like terms: 36 + -32 = 4 4b = 4 Divide each side by '4'. b = 1 Simplifying b = 1
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