42=5.7z+26(z-3)

Solution for 42=5.7z+26(z-3) equation:

Simplifying
42 = 5.7z + 26(z + -3)

Reorder the terms:
42 = 5.7z + 26(-3 + z)
42 = 5.7z + (-3 * 26 + z * 26)
42 = 5.7z + (-78 + 26z)

Reorder the terms:
42 = -78 + 5.7z + 26z

Combine like terms: 5.7z + 26z = 31.7z
42 = -78 + 31.7z

Solving
42 = -78 + 31.7z

Solving for variable 'z'.

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

Add '-31.7z' to each side of the equation.
42 + -31.7z = -78 + 31.7z + -31.7z

Combine like terms: 31.7z + -31.7z = 0.0
42 + -31.7z = -78 + 0.0
42 + -31.7z = -78

Add '-42' to each side of the equation.
42 + -42 + -31.7z = -78 + -42

Combine like terms: 42 + -42 = 0
0 + -31.7z = -78 + -42
-31.7z = -78 + -42

Combine like terms: -78 + -42 = -120
-31.7z = -120

Divide each side by '-31.7'.
z = 3.785488959

Simplifying
z = 3.785488959