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Simplifying b + 74 = 2b + 52 Reorder the terms: 74 + b = 2b + 52 Reorder the terms: 74 + b = 52 + 2b Solving 74 + b = 52 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 74 + b + -2b = 52 + 2b + -2b Combine like terms: b + -2b = -1b 74 + -1b = 52 + 2b + -2b Combine like terms: 2b + -2b = 0 74 + -1b = 52 + 0 74 + -1b = 52 Add '-74' to each side of the equation. 74 + -74 + -1b = 52 + -74 Combine like terms: 74 + -74 = 0 0 + -1b = 52 + -74 -1b = 52 + -74 Combine like terms: 52 + -74 = -22 -1b = -22 Divide each side by '-1'. b = 22 Simplifying b = 22
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