2(2q+1)=3(a-2)

Solution for 2(2q+1)=3(a-2) equation:

Simplifying
2(2q + 1) = 3(a + -2)

Reorder the terms:
2(1 + 2q) = 3(a + -2)
(1 * 2 + 2q * 2) = 3(a + -2)
(2 + 4q) = 3(a + -2)

Reorder the terms:
2 + 4q = 3(-2 + a)
2 + 4q = (-2 * 3 + a * 3)
2 + 4q = (-6 + 3a)

Solving
2 + 4q = -6 + 3a

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 4q = -6 + -2 + 3a

Combine like terms: 2 + -2 = 0
0 + 4q = -6 + -2 + 3a
4q = -6 + -2 + 3a

Combine like terms: -6 + -2 = -8
4q = -8 + 3a

Divide each side by '4'.
q = -2 + 0.75a

Simplifying
q = -2 + 0.75a