(6z+1)-(z-9)=

Solution for (6z+1)-(z-9)= equation:

Simplifying
(6z + 1) + -1(z + -9) = 0

Reorder the terms:
(1 + 6z) + -1(z + -9) = 0

Remove parenthesis around (1 + 6z)
1 + 6z + -1(z + -9) = 0

Reorder the terms:
1 + 6z + -1(-9 + z) = 0
1 + 6z + (-9 * -1 + z * -1) = 0
1 + 6z + (9 + -1z) = 0

Reorder the terms:
1 + 9 + 6z + -1z = 0

Combine like terms: 1 + 9 = 10
10 + 6z + -1z = 0

Combine like terms: 6z + -1z = 5z
10 + 5z = 0

Solving
10 + 5z = 0

Solving for variable 'z'.

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

Add '-10' to each side of the equation.
10 + -10 + 5z = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5z = 0 + -10
5z = 0 + -10

Combine like terms: 0 + -10 = -10
5z = -10

Divide each side by '5'.
z = -2

Simplifying
z = -2