15-0.8(z-2)=0.1(7z-2)

Solution for 15-0.8(z-2)=0.1(7z-2) equation:

Simplifying
15 + -0.8(z + -2) = 0.1(7z + -2)

Reorder the terms:
15 + -0.8(-2 + z) = 0.1(7z + -2)
15 + (-2 * -0.8 + z * -0.8) = 0.1(7z + -2)
15 + (1.6 + -0.8z) = 0.1(7z + -2)

Combine like terms: 15 + 1.6 = 16.6
16.6 + -0.8z = 0.1(7z + -2)

Reorder the terms:
16.6 + -0.8z = 0.1(-2 + 7z)
16.6 + -0.8z = (-2 * 0.1 + 7z * 0.1)
16.6 + -0.8z = (-0.2 + 0.7z)

Solving
16.6 + -0.8z = -0.2 + 0.7z

Solving for variable 'z'.

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

Add '-0.7z' to each side of the equation.
16.6 + -0.8z + -0.7z = -0.2 + 0.7z + -0.7z

Combine like terms: -0.8z + -0.7z = -1.5z
16.6 + -1.5z = -0.2 + 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
16.6 + -1.5z = -0.2 + 0.0
16.6 + -1.5z = -0.2

Add '-16.6' to each side of the equation.
16.6 + -16.6 + -1.5z = -0.2 + -16.6

Combine like terms: 16.6 + -16.6 = 0.0
0.0 + -1.5z = -0.2 + -16.6
-1.5z = -0.2 + -16.6

Combine like terms: -0.2 + -16.6 = -16.8
-1.5z = -16.8

Divide each side by '-1.5'.
z = 11.2

Simplifying
z = 11.2