2(z+3)=6(t+2)

Solution for 2(z+3)=6(t+2) equation:

Simplifying
2(z + 3) = 6(t + 2)

Reorder the terms:
2(3 + z) = 6(t + 2)
(3 * 2 + z * 2) = 6(t + 2)
(6 + 2z) = 6(t + 2)

Reorder the terms:
6 + 2z = 6(2 + t)
6 + 2z = (2 * 6 + t * 6)
6 + 2z = (12 + 6t)

Solving
6 + 2z = 12 + 6t

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 2z = 12 + -6 + 6t

Combine like terms: 6 + -6 = 0
0 + 2z = 12 + -6 + 6t
2z = 12 + -6 + 6t

Combine like terms: 12 + -6 = 6
2z = 6 + 6t

Divide each side by '2'.
z = 3 + 3t

Simplifying
z = 3 + 3t