0.4(2z+6)+6.6=0.6(2z-5)

Solution for 0.4(2z+6)+6.6=0.6(2z-5) equation:

Simplifying
0.4(2z + 6) + 6.6 = 0.6(2z + -5)

Reorder the terms:
0.4(6 + 2z) + 6.6 = 0.6(2z + -5)
(6 * 0.4 + 2z * 0.4) + 6.6 = 0.6(2z + -5)
(2.4 + 0.8z) + 6.6 = 0.6(2z + -5)

Reorder the terms:
2.4 + 6.6 + 0.8z = 0.6(2z + -5)

Combine like terms: 2.4 + 6.6 = 9
9 + 0.8z = 0.6(2z + -5)

Reorder the terms:
9 + 0.8z = 0.6(-5 + 2z)
9 + 0.8z = (-5 * 0.6 + 2z * 0.6)
9 + 0.8z = (-3 + 1.2z)

Solving
9 + 0.8z = -3 + 1.2z

Solving for variable 'z'.

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

Add '-1.2z' to each side of the equation.
9 + 0.8z + -1.2z = -3 + 1.2z + -1.2z

Combine like terms: 0.8z + -1.2z = -0.4z
9 + -0.4z = -3 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
9 + -0.4z = -3 + 0.0
9 + -0.4z = -3

Add '-9' to each side of the equation.
9 + -9 + -0.4z = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -0.4z = -3 + -9
-0.4z = -3 + -9

Combine like terms: -3 + -9 = -12
-0.4z = -12

Divide each side by '-0.4'.
z = 30

Simplifying
z = 30