(1+4q)6=6q

Solution for (1+4q)6=6q equation:

Simplifying
(1 + 4q) * 6 = 6q

Reorder the terms for easier multiplication:
6(1 + 4q) = 6q
(1 * 6 + 4q * 6) = 6q
(6 + 24q) = 6q

Solving
6 + 24q = 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
6 + 24q + -6q = 6q + -6q

Combine like terms: 24q + -6q = 18q
6 + 18q = 6q + -6q

Combine like terms: 6q + -6q = 0
6 + 18q = 0

Add '-6' to each side of the equation.
6 + -6 + 18q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 18q = 0 + -6
18q = 0 + -6

Combine like terms: 0 + -6 = -6
18q = -6

Divide each side by '18'.
q = -0.3333333333

Simplifying
q = -0.3333333333