Question

Solve and check the sum

Answer 1

$6 - \dfrac{a - 1}{2} - \dfrac{a - 2}{3} = \dfrac{3 - a}{4}$

Put into single fraction:

$\dfrac{36 - 3(a - 1) - 2(a - 2)}{6} = \dfrac{3 - a}{4}$

Distribute -3 and -2:

$\dfrac{36 - 3a + 3 - 2a + 4}{6} = \dfrac{3 - a}{4}$

Combine like terms:

$\dfrac{43 - 5a}{6} = \dfrac{3 - a}{4}$

Cross multiply:

$4(43 - 5a) = 6(3 - a)$

Distribute 4 and 6:

$172 - 20a = 18 - 6a$

Add 20a to both sides:

$172 = 18 + 14a$

Take away 18 from both sides:

$154 = 14a$

Switch sides:

$14a = 154$

Divide both sides by 14:

$a = 11$

Answer 2

DEAR STUDENT,

Kindly check the following attached paper for a detailed explanation and step by step solution to reach our final answer or the required answer to this query that is,

$\boxed{\bf{\underline{a = 11}}}$

Which is the required answer to this type of query.

Hope this helps you and clears your doubts for expanding one equation to find the value for that variable!!!!