78=6(2z+1)

Solution for 78=6(2z+1) equation:

Simplifying
78 = 6(2z + 1)

Reorder the terms:
78 = 6(1 + 2z)
78 = (1 * 6 + 2z * 6)
78 = (6 + 12z)

Solving
78 = 6 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
78 + -12z = 6 + 12z + -12z

Combine like terms: 12z + -12z = 0
78 + -12z = 6 + 0
78 + -12z = 6

Add '-78' to each side of the equation.
78 + -78 + -12z = 6 + -78

Combine like terms: 78 + -78 = 0
0 + -12z = 6 + -78
-12z = 6 + -78

Combine like terms: 6 + -78 = -72
-12z = -72

Divide each side by '-12'.
z = 6

Simplifying
z = 6