6=3t+4(q-5)

Solution for 6=3t+4(q-5) equation:

Simplifying
6 = 3t + 4(q + -5)

Reorder the terms:
6 = 3t + 4(-5 + q)
6 = 3t + (-5 * 4 + q * 4)
6 = 3t + (-20 + 4q)

Reorder the terms:
6 = -20 + 4q + 3t

Solving
6 = -20 + 4q + 3t

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
6 + -4q = -20 + 4q + -4q + 3t

Combine like terms: 4q + -4q = 0
6 + -4q = -20 + 0 + 3t
6 + -4q = -20 + 3t

Add '-6' to each side of the equation.
6 + -6 + -4q = -20 + -6 + 3t

Combine like terms: 6 + -6 = 0
0 + -4q = -20 + -6 + 3t
-4q = -20 + -6 + 3t

Combine like terms: -20 + -6 = -26
-4q = -26 + 3t

Divide each side by '-4'.
q = 6.5 + -0.75t

Simplifying
q = 6.5 + -0.75t