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19. Given: 2c =d-2b, c = a-b. d= a + b; Prove: a = b Statements Reasons 1. 2c = d - 2b 2. c = a - b 3.2(a - b) = d - 2b 4. 2a - 2b = d - 2b 5. d = a + b 6. 2a - 2b = a + b - 2b > 7. 2a - 2b = a-b > 8. a - 2b = -b 9. a = b <

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19 Given 2c d2b c ab d a b Prove a b Statements Reasons 1 2c d 2b 2 c a b 32a b d 2b 4 2a 2b d 2b 5 d a b 6 2a 2b a b 2b gt 7 2a 2b ab gt 8 a 2b b 9 a b ltI nee class=

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mrnyooooom

Answer:

1 = Given

2 = Given

3 = Substitution Property

4 = Distributive Property

5 = Given

6 = Substitution Property

7 = Simplify

8 = Subtraction Property

9 = Addition Property