ax+bz+(6n-7y+6)=100

Solution for ax+bz+(6n-7y+6)=100 equation:

Simplifying
ax + bz + (6n + -7y + 6) = 100

Reorder the terms:
ax + bz + (6 + 6n + -7y) = 100

Remove parenthesis around (6 + 6n + -7y)
ax + bz + 6 + 6n + -7y = 100

Reorder the terms:
6 + ax + bz + 6n + -7y = 100

Solving
6 + ax + bz + 6n + -7y = 100

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + ax + bz + 6n + -6 + -7y = 100 + -6

Reorder the terms:
6 + -6 + ax + bz + 6n + -7y = 100 + -6

Combine like terms: 6 + -6 = 0
0 + ax + bz + 6n + -7y = 100 + -6
ax + bz + 6n + -7y = 100 + -6

Combine like terms: 100 + -6 = 94
ax + bz + 6n + -7y = 94

Add '-1bz' to each side of the equation.
ax + bz + 6n + -1bz + -7y = 94 + -1bz

Reorder the terms:
ax + bz + -1bz + 6n + -7y = 94 + -1bz

Combine like terms: bz + -1bz = 0
ax + 0 + 6n + -7y = 94 + -1bz
ax + 6n + -7y = 94 + -1bz

Add '-6n' to each side of the equation.
ax + 6n + -6n + -7y = 94 + -1bz + -6n

Combine like terms: 6n + -6n = 0
ax + 0 + -7y = 94 + -1bz + -6n
ax + -7y = 94 + -1bz + -6n

Add '7y' to each side of the equation.
ax + -7y + 7y = 94 + -1bz + -6n + 7y

Combine like terms: -7y + 7y = 0
ax + 0 = 94 + -1bz + -6n + 7y
ax = 94 + -1bz + -6n + 7y

Divide each side by 'x'.
a = 94x-1 + -1bx-1z + -6nx-1 + 7x-1y

Simplifying
a = 94x-1 + -1bx-1z + -6nx-1 + 7x-1y

Reorder the terms:
a = -1bx-1z + -6nx-1 + 94x-1 + 7x-1y