2(7z-3)+8(8z-4)+38=

Solution for 2(7z-3)+8(8z-4)+38= equation:

Simplifying
2(7z + -3) + 8(8z + -4) + 38 = 0

Reorder the terms:
2(-3 + 7z) + 8(8z + -4) + 38 = 0
(-3 * 2 + 7z * 2) + 8(8z + -4) + 38 = 0
(-6 + 14z) + 8(8z + -4) + 38 = 0

Reorder the terms:
-6 + 14z + 8(-4 + 8z) + 38 = 0
-6 + 14z + (-4 * 8 + 8z * 8) + 38 = 0
-6 + 14z + (-32 + 64z) + 38 = 0

Reorder the terms:
-6 + -32 + 38 + 14z + 64z = 0

Combine like terms: -6 + -32 = -38
-38 + 38 + 14z + 64z = 0

Combine like terms: -38 + 38 = 0
0 + 14z + 64z = 0
14z + 64z = 0

Combine like terms: 14z + 64z = 78z
78z = 0

Solving
78z = 0

Solving for variable 'z'.

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

Divide each side by '78'.
z = 0

Simplifying
z = 0