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Step-by-step explanation:
a) Through commutative property.
LHS:
- 4+(-3/4 + - 2/5)
- 4+(((-3*5)+(-2*4))/20)
- 4+-23/20
- 57/20
RHS:
- (4+-3/4)+ -2/5
- (((4*4)+-3)/4)+ -2/5
- 13/4 + - 2/5
- ((13*5)+(-2*4))/20
- 57/20
LHS=RHS
b) Through distributive property.
LHS:
- -7/15(2/3 + - 5/12)
- -7/15(((2*4)+ - 5)/12)
- -7/15 *1/4
- -7/60
RHS:
- -7/15*2/3 + - 7/15*-5/12
- -14/45 + 7/36
- ((-14*4)+(7*5))/180
- -21/180
- -7/60
LHS=RHS
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