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Simplifying 10b + 12 + 6 = 3b + 5b + 4 Reorder the terms: 12 + 6 + 10b = 3b + 5b + 4 Combine like terms: 12 + 6 = 18 18 + 10b = 3b + 5b + 4 Reorder the terms: 18 + 10b = 4 + 3b + 5b Combine like terms: 3b + 5b = 8b 18 + 10b = 4 + 8b Solving 18 + 10b = 4 + 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. 18 + 10b + -8b = 4 + 8b + -8b Combine like terms: 10b + -8b = 2b 18 + 2b = 4 + 8b + -8b Combine like terms: 8b + -8b = 0 18 + 2b = 4 + 0 18 + 2b = 4 Add '-18' to each side of the equation. 18 + -18 + 2b = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 2b = 4 + -18 2b = 4 + -18 Combine like terms: 4 + -18 = -14 2b = -14 Divide each side by '2'. b = -7 Simplifying b = -7
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