-(2+5z)+3z=6-(z+1)

Solution for -(2+5z)+3z=6-(z+1) equation:

Simplifying
-1(2 + 5z) + 3z = 6 + -1(z + 1)
(2 * -1 + 5z * -1) + 3z = 6 + -1(z + 1)
(-2 + -5z) + 3z = 6 + -1(z + 1)

Combine like terms: -5z + 3z = -2z
-2 + -2z = 6 + -1(z + 1)

Reorder the terms:
-2 + -2z = 6 + -1(1 + z)
-2 + -2z = 6 + (1 * -1 + z * -1)
-2 + -2z = 6 + (-1 + -1z)

Combine like terms: 6 + -1 = 5
-2 + -2z = 5 + -1z

Solving
-2 + -2z = 5 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-2 + -2z + z = 5 + -1z + z

Combine like terms: -2z + z = -1z
-2 + -1z = 5 + -1z + z

Combine like terms: -1z + z = 0
-2 + -1z = 5 + 0
-2 + -1z = 5

Add '2' to each side of the equation.
-2 + 2 + -1z = 5 + 2

Combine like terms: -2 + 2 = 0
0 + -1z = 5 + 2
-1z = 5 + 2

Combine like terms: 5 + 2 = 7
-1z = 7

Divide each side by '-1'.
z = -7

Simplifying
z = -7