2.6=4.2z+2(-2z+1)

Solution for 2.6=4.2z+2(-2z+1) equation:

Simplifying
2.6 = 4.2z + 2(-2z + 1)

Reorder the terms:
2.6 = 4.2z + 2(1 + -2z)
2.6 = 4.2z + (1 * 2 + -2z * 2)
2.6 = 4.2z + (2 + -4z)

Reorder the terms:
2.6 = 2 + 4.2z + -4z

Combine like terms: 4.2z + -4z = 0.2z
2.6 = 2 + 0.2z

Solving
2.6 = 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.
2.6 + -0.2z = 2 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
2.6 + -0.2z = 2 + 0.0
2.6 + -0.2z = 2

Add '-2.6' to each side of the equation.
2.6 + -2.6 + -0.2z = 2 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -0.2z = 2 + -2.6
-0.2z = 2 + -2.6

Combine like terms: 2 + -2.6 = -0.6
-0.2z = -0.6

Divide each side by '-0.2'.
z = 3

Simplifying
z = 3