Answer:
A= 1
Step-by-step explanation:
Distribute
3 ( − 6 ) = − 5 − 1 ( 7 + 3 )
3a - 18 = -5a - 1 ( 7 + 3a )
Rearrange terms
3 − 1 8 = − 5 − 1 ( 3 + 7 )
3a - 18 = -5a - 3a - 7
Combine like terms
3 − 1 8 = −5 − 3 − 7
3a - 18 = -8a - 7
Add 1 8 to both sides of the equation
3a - 18 = -8a - 7
3 − 1 8 + 1 8 = − 8 − 7 + 1 8
Simplify
Add the numbers
3 − 1 8 + 1 8 = − 8 − 7 + 1 8
3a = -8a - 7 + 18
Add the numbers again
3 = − 8 − 7 + 1 8
3a = -8a + 11
Add 8 to both sides of the equation
3a = -8a + 11
3 + 8 = − 8 + 1 1 + 8
Simplify
Combine like terms
3 + 8 = − 8 + 1 1 + 8
1 1 = − 8 + 1 1 + 8
Combine like terms again
1 1 = − 8 + 1 1 + 8
11a = 11
Divide both sides of the equation by the same term
11a = 11
1 1 / 1 1 = 1 1 / 1 1
Simplify
Cancel terms that are in both the numerator and denominator
1 1 / 1 1 = 1 1 / 1 1
a = 11/11
Divide the numbers
a = 11/11
a = 1
