-6+14q=20q+6(3q+19)

Solution for -6+14q=20q+6(3q+19) equation:

Simplifying
-6 + 14q = 20q + 6(3q + 19)

Reorder the terms:
-6 + 14q = 20q + 6(19 + 3q)
-6 + 14q = 20q + (19 * 6 + 3q * 6)
-6 + 14q = 20q + (114 + 18q)

Reorder the terms:
-6 + 14q = 114 + 20q + 18q

Combine like terms: 20q + 18q = 38q
-6 + 14q = 114 + 38q

Solving
-6 + 14q = 114 + 38q

Solving for variable 'q'.

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

Add '-38q' to each side of the equation.
-6 + 14q + -38q = 114 + 38q + -38q

Combine like terms: 14q + -38q = -24q
-6 + -24q = 114 + 38q + -38q

Combine like terms: 38q + -38q = 0
-6 + -24q = 114 + 0
-6 + -24q = 114

Add '6' to each side of the equation.
-6 + 6 + -24q = 114 + 6

Combine like terms: -6 + 6 = 0
0 + -24q = 114 + 6
-24q = 114 + 6

Combine like terms: 114 + 6 = 120
-24q = 120

Divide each side by '-24'.
q = -5

Simplifying
q = -5