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Simplifying 30 + 2b = 3b + 3 + 5b + 3 Reorder the terms: 30 + 2b = 3 + 3 + 3b + 5b Combine like terms: 3 + 3 = 6 30 + 2b = 6 + 3b + 5b Combine like terms: 3b + 5b = 8b 30 + 2b = 6 + 8b Solving 30 + 2b = 6 + 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. 30 + 2b + -8b = 6 + 8b + -8b Combine like terms: 2b + -8b = -6b 30 + -6b = 6 + 8b + -8b Combine like terms: 8b + -8b = 0 30 + -6b = 6 + 0 30 + -6b = 6 Add '-30' to each side of the equation. 30 + -30 + -6b = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -6b = 6 + -30 -6b = 6 + -30 Combine like terms: 6 + -30 = -24 -6b = -24 Divide each side by '-6'. b = 4 Simplifying b = 4
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