-(z+5)+(2z+1)=-3(z+1)

Solution for -(z+5)+(2z+1)=-3(z+1) equation:

Simplifying
-1(z + 5) + (2z + 1) = -3(z + 1)

Reorder the terms:
-1(5 + z) + (2z + 1) = -3(z + 1)
(5 * -1 + z * -1) + (2z + 1) = -3(z + 1)
(-5 + -1z) + (2z + 1) = -3(z + 1)

Reorder the terms:
-5 + -1z + (1 + 2z) = -3(z + 1)

Remove parenthesis around (1 + 2z)
-5 + -1z + 1 + 2z = -3(z + 1)

Reorder the terms:
-5 + 1 + -1z + 2z = -3(z + 1)

Combine like terms: -5 + 1 = -4
-4 + -1z + 2z = -3(z + 1)

Combine like terms: -1z + 2z = 1z
-4 + 1z = -3(z + 1)

Reorder the terms:
-4 + 1z = -3(1 + z)
-4 + 1z = (1 * -3 + z * -3)
-4 + 1z = (-3 + -3z)

Solving
-4 + 1z = -3 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-4 + 1z + 3z = -3 + -3z + 3z

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

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

Add '4' to each side of the equation.
-4 + 4 + 4z = -3 + 4

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

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

Divide each side by '4'.
z = 0.25

Simplifying
z = 0.25