Answer:
1. -3(5v + 2) = 54 ==> given equation
2. -15v - 6 = 54 ==> distributive property of equality
3. -15v - 6 + 6 = 54 + 6 ==> additive property of equality
4. -15v = 60 ==> simplifying
5. -15v/-15 = 60/-15 ==> division property of equality
6. v = -4 ==> simplifying
Step-by-step explanation:
1. this is the equation given
2. distributive property of equality : a(b+c) = a*b + a*c
this is applied in step 2. eg. -3(5v+2) = -3*5v + -3*2= -15v - 6
3. to isolate the variable we must get rid of the -6. to do so we add 6 to both sides hence using the additive property of equality.
4. we then simplify both sides of the equation as we just added 6 to both sides
5. to isolate the variable we have to get rid of the -15 in -15v
v is being multiplied by -15
the inverse of multiplication is division so to get rid of the -15 we divide by -15. what ever we do to one side we must do to the other, hence the division property of equality
6. we then simplify the division
and we are done!
