Answer:
a = (-7)/32 or a= 0.21875
Step-by-step explanation:
Solve for a:
-4 a - 4 = (4 a)/7 - 3
Put each term in (4 a)/7 - 3 over the common denominator 7: (4 a)/7 - 3 = (4 a)/7 - 21/7:
-4 a - 4 = (4 a)/7 - 21/7
(4 a)/7 - 21/7 = (4 a - 21)/7:
-4 a - 4 = (4 a - 21)/7
Multiply both sides by 7:
7 (-4 a - 4) = (7 (4 a - 21))/7
(7 (4 a - 21))/7 = 7/7×(4 a - 21) = 4 a - 21:
7 (-4 a - 4) = 4 a - 21
Expand out terms of the left hand side:
-28 a - 28 = 4 a - 21
Subtract 4 a from both sides:
(-28 a - 4 a) - 28 = (4 a - 4 a) - 21
-28 a - 4 a = -32 a:
-32 a - 28 = (4 a - 4 a) - 21
4 a - 4 a = 0:
-32 a - 28 = -21
Add 28 to both sides:
(28 - 28) - 32 a = 28 - 21
28 - 28 = 0:
-32 a = 28 - 21
28 - 21 = 7:
-32 a = 7
Divide both sides of -32 a = 7 by -32:
(-32 a)/(-32) = 7/(-32)
(-32)/(-32) = 1:
a = 7/(-32)
Multiply numerator and denominator of 7/(-32) by -1:
Answer: a = (-7)/32
