Solve for a.

1/4(20−4a)=6−a14(20−4a)=6−a

−1

0

no solution

all real numbers

A Simplify — a Equation at the end of step  1  : 20 (6+(——-4))-((5•1)-4) = 0 a Step  2  : 20 Simplify —— a Equation at the end of step  2  : 20 (6 + (—— - 4)) - 1 = 0 a Step  3  :Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  a  as the denominator :

4 4 • a 4 = — = ————— 1 a

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

20 - (4 • a) 20 - 4a ———————————— = ——————— a a Equation at the end of step  3  : (20 - 4a) (6 + —————————) - 1 = 0 a Step  4  :Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  a  as the denominator :

6 6 • a 6 = — = ————— 1 a Step  5  :Pulling out like terms :

 5.1     Pull out like factors :

   20 - 4a  =   -4 • (a - 5) 

Adding fractions that have a common denominator :

 5.2       Adding up the two equivalent fractions

6 • a + -4 • (a-5) 2a + 20 —————————————————— = ——————— a a Equation at the end of step  5  : (2a + 20) ————————— - 1 = 0 a Step  6  :Rewriting the whole as an Equivalent Fraction :

 6.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  a  as the denominator :

1 1 • a 1 = — = ————— 1 a

C and D. 8 is greater than 13, and -6 is greater than -10.