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Simplifying 2(b + 42) = 52 Reorder the terms: 2(42 + b) = 52 (42 * 2 + b * 2) = 52 (84 + 2b) = 52 Solving 84 + 2b = 52 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 2b = 52 + -84 Combine like terms: 84 + -84 = 0 0 + 2b = 52 + -84 2b = 52 + -84 Combine like terms: 52 + -84 = -32 2b = -32 Divide each side by '2'. b = -16 Simplifying b = -16
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