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