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Simplifying 5b + 22(3b + 1) = 3b + 5 Reorder the terms: 5b + 22(1 + 3b) = 3b + 5 5b + (1 * 22 + 3b * 22) = 3b + 5 5b + (22 + 66b) = 3b + 5 Reorder the terms: 22 + 5b + 66b = 3b + 5 Combine like terms: 5b + 66b = 71b 22 + 71b = 3b + 5 Reorder the terms: 22 + 71b = 5 + 3b Solving 22 + 71b = 5 + 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. 22 + 71b + -3b = 5 + 3b + -3b Combine like terms: 71b + -3b = 68b 22 + 68b = 5 + 3b + -3b Combine like terms: 3b + -3b = 0 22 + 68b = 5 + 0 22 + 68b = 5 Add '-22' to each side of the equation. 22 + -22 + 68b = 5 + -22 Combine like terms: 22 + -22 = 0 0 + 68b = 5 + -22 68b = 5 + -22 Combine like terms: 5 + -22 = -17 68b = -17 Divide each side by '68'. b = -0.25 Simplifying b = -0.25
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