-(z+6)+(4z+1)=

Solution for -(z+6)+(4z+1)= equation:

Simplifying
-1(z + 6) + (4z + 1) = 0

Reorder the terms:
-1(6 + z) + (4z + 1) = 0
(6 * -1 + z * -1) + (4z + 1) = 0
(-6 + -1z) + (4z + 1) = 0

Reorder the terms:
-6 + -1z + (1 + 4z) = 0

Remove parenthesis around (1 + 4z)
-6 + -1z + 1 + 4z = 0

Reorder the terms:
-6 + 1 + -1z + 4z = 0

Combine like terms: -6 + 1 = -5
-5 + -1z + 4z = 0

Combine like terms: -1z + 4z = 3z
-5 + 3z = 0

Solving
-5 + 3z = 0

Solving for variable 'z'.

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

Add '5' to each side of the equation.
-5 + 5 + 3z = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3z = 0 + 5
3z = 0 + 5

Combine like terms: 0 + 5 = 5
3z = 5

Divide each side by '3'.
z = 1.666666667

Simplifying
z = 1.666666667