-10(z+1)+2z=3(2z+1)+1

Solution for -10(z+1)+2z=3(2z+1)+1 equation:

Simplifying
-10(z + 1) + 2z = 3(2z + 1) + 1

Reorder the terms:
-10(1 + z) + 2z = 3(2z + 1) + 1
(1 * -10 + z * -10) + 2z = 3(2z + 1) + 1
(-10 + -10z) + 2z = 3(2z + 1) + 1

Combine like terms: -10z + 2z = -8z
-10 + -8z = 3(2z + 1) + 1

Reorder the terms:
-10 + -8z = 3(1 + 2z) + 1
-10 + -8z = (1 * 3 + 2z * 3) + 1
-10 + -8z = (3 + 6z) + 1

Reorder the terms:
-10 + -8z = 3 + 1 + 6z

Combine like terms: 3 + 1 = 4
-10 + -8z = 4 + 6z

Solving
-10 + -8z = 4 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-10 + -8z + -6z = 4 + 6z + -6z

Combine like terms: -8z + -6z = -14z
-10 + -14z = 4 + 6z + -6z

Combine like terms: 6z + -6z = 0
-10 + -14z = 4 + 0
-10 + -14z = 4

Add '10' to each side of the equation.
-10 + 10 + -14z = 4 + 10

Combine like terms: -10 + 10 = 0
0 + -14z = 4 + 10
-14z = 4 + 10

Combine like terms: 4 + 10 = 14
-14z = 14

Divide each side by '-14'.
z = -1

Simplifying
z = -1