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Simplifying 8(3b + 3) = 5b + 5 Reorder the terms: 8(3 + 3b) = 5b + 5 (3 * 8 + 3b * 8) = 5b + 5 (24 + 24b) = 5b + 5 Reorder the terms: 24 + 24b = 5 + 5b Solving 24 + 24b = 5 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 24 + 24b + -5b = 5 + 5b + -5b Combine like terms: 24b + -5b = 19b 24 + 19b = 5 + 5b + -5b Combine like terms: 5b + -5b = 0 24 + 19b = 5 + 0 24 + 19b = 5 Add '-24' to each side of the equation. 24 + -24 + 19b = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 19b = 5 + -24 19b = 5 + -24 Combine like terms: 5 + -24 = -19 19b = -19 Divide each side by '19'. b = -1 Simplifying b = -1
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