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

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

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

Reorder the terms:
6 + 2(-3 + z) = -5z + 1
6 + (-3 * 2 + z * 2) = -5z + 1
6 + (-6 + 2z) = -5z + 1

Combine like terms: 6 + -6 = 0
0 + 2z = -5z + 1
2z = -5z + 1

Reorder the terms:
2z = 1 + -5z

Solving
2z = 1 + -5z

Solving for variable 'z'.

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

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

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

Combine like terms: -5z + 5z = 0
7z = 1 + 0
7z = 1

Divide each side by '7'.
z = 0.1428571429

Simplifying
z = 0.1428571429