0.2(1.3z+4.1)=0.6(-0.9z+3.9)

Solution for 0.2(1.3z+4.1)=0.6(-0.9z+3.9) equation:

Simplifying
0.2(1.3z + 4.1) = 0.6(-0.9z + 3.9)

Reorder the terms:
0.2(4.1 + 1.3z) = 0.6(-0.9z + 3.9)
(4.1 * 0.2 + 1.3z * 0.2) = 0.6(-0.9z + 3.9)
(0.82 + 0.26z) = 0.6(-0.9z + 3.9)

Reorder the terms:
0.82 + 0.26z = 0.6(3.9 + -0.9z)
0.82 + 0.26z = (3.9 * 0.6 + -0.9z * 0.6)
0.82 + 0.26z = (2.34 + -0.54z)

Solving
0.82 + 0.26z = 2.34 + -0.54z

Solving for variable 'z'.

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

Add '0.54z' to each side of the equation.
0.82 + 0.26z + 0.54z = 2.34 + -0.54z + 0.54z

Combine like terms: 0.26z + 0.54z = 0.8z
0.82 + 0.8z = 2.34 + -0.54z + 0.54z

Combine like terms: -0.54z + 0.54z = 0.00
0.82 + 0.8z = 2.34 + 0.00
0.82 + 0.8z = 2.34

Add '-0.82' to each side of the equation.
0.82 + -0.82 + 0.8z = 2.34 + -0.82

Combine like terms: 0.82 + -0.82 = 0.00
0.00 + 0.8z = 2.34 + -0.82
0.8z = 2.34 + -0.82

Combine like terms: 2.34 + -0.82 = 1.52
0.8z = 1.52

Divide each side by '0.8'.
z = 1.9

Simplifying
z = 1.9