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Simplifying 6(b + 5) + 2 = 22 + b Reorder the terms: 6(5 + b) + 2 = 22 + b (5 * 6 + b * 6) + 2 = 22 + b (30 + 6b) + 2 = 22 + b Reorder the terms: 30 + 2 + 6b = 22 + b Combine like terms: 30 + 2 = 32 32 + 6b = 22 + b Solving 32 + 6b = 22 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 32 + 6b + -1b = 22 + b + -1b Combine like terms: 6b + -1b = 5b 32 + 5b = 22 + b + -1b Combine like terms: b + -1b = 0 32 + 5b = 22 + 0 32 + 5b = 22 Add '-32' to each side of the equation. 32 + -32 + 5b = 22 + -32 Combine like terms: 32 + -32 = 0 0 + 5b = 22 + -32 5b = 22 + -32 Combine like terms: 22 + -32 = -10 5b = -10 Divide each side by '5'. b = -2 Simplifying b = -2
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