0.6(z+7)=0.2(z-1)

Solution for 0.6(z+7)=0.2(z-1) equation:

Simplifying
0.6(z + 7) = 0.2(z + -1)

Reorder the terms:
0.6(7 + z) = 0.2(z + -1)
(7 * 0.6 + z * 0.6) = 0.2(z + -1)
(4.2 + 0.6z) = 0.2(z + -1)

Reorder the terms:
4.2 + 0.6z = 0.2(-1 + z)
4.2 + 0.6z = (-1 * 0.2 + z * 0.2)
4.2 + 0.6z = (-0.2 + 0.2z)

Solving
4.2 + 0.6z = -0.2 + 0.2z

Solving for variable 'z'.

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

Add '-0.2z' to each side of the equation.
4.2 + 0.6z + -0.2z = -0.2 + 0.2z + -0.2z

Combine like terms: 0.6z + -0.2z = 0.4z
4.2 + 0.4z = -0.2 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
4.2 + 0.4z = -0.2 + 0.0
4.2 + 0.4z = -0.2

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 0.4z = -0.2 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 0.4z = -0.2 + -4.2
0.4z = -0.2 + -4.2

Combine like terms: -0.2 + -4.2 = -4.4
0.4z = -4.4

Divide each side by '0.4'.
z = -11

Simplifying
z = -11