8z+6=-7z+13

Solution for 8z+6=-7z+13 equation:

Simplifying
8z + 6 = -7z + 13

Reorder the terms:
6 + 8z = -7z + 13

Reorder the terms:
6 + 8z = 13 + -7z

Solving
6 + 8z = 13 + -7z

Solving for variable 'z'.

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

Add '7z' to each side of the equation.
6 + 8z + 7z = 13 + -7z + 7z

Combine like terms: 8z + 7z = 15z
6 + 15z = 13 + -7z + 7z

Combine like terms: -7z + 7z = 0
6 + 15z = 13 + 0
6 + 15z = 13

Add '-6' to each side of the equation.
6 + -6 + 15z = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 15z = 13 + -6
15z = 13 + -6

Combine like terms: 13 + -6 = 7
15z = 7

Divide each side by '15'.
z = 0.4666666667

Simplifying
z = 0.4666666667