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Simplifying 6b + 7 = 3b + 22 Reorder the terms: 7 + 6b = 3b + 22 Reorder the terms: 7 + 6b = 22 + 3b Solving 7 + 6b = 22 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 7 + 6b + -3b = 22 + 3b + -3b Combine like terms: 6b + -3b = 3b 7 + 3b = 22 + 3b + -3b Combine like terms: 3b + -3b = 0 7 + 3b = 22 + 0 7 + 3b = 22 Add '-7' to each side of the equation. 7 + -7 + 3b = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = 22 + -7 3b = 22 + -7 Combine like terms: 22 + -7 = 15 3b = 15 Divide each side by '3'. b = 5 Simplifying b = 5
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