0.4(2z+7)+9.6=0.6(2z-6)

Solution for 0.4(2z+7)+9.6=0.6(2z-6) equation:

Simplifying
0.4(2z + 7) + 9.6 = 0.6(2z + -6)

Reorder the terms:
0.4(7 + 2z) + 9.6 = 0.6(2z + -6)
(7 * 0.4 + 2z * 0.4) + 9.6 = 0.6(2z + -6)
(2.8 + 0.8z) + 9.6 = 0.6(2z + -6)

Reorder the terms:
2.8 + 9.6 + 0.8z = 0.6(2z + -6)

Combine like terms: 2.8 + 9.6 = 12.4
12.4 + 0.8z = 0.6(2z + -6)

Reorder the terms:
12.4 + 0.8z = 0.6(-6 + 2z)
12.4 + 0.8z = (-6 * 0.6 + 2z * 0.6)
12.4 + 0.8z = (-3.6 + 1.2z)

Solving
12.4 + 0.8z = -3.6 + 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.
12.4 + 0.8z + -1.2z = -3.6 + 1.2z + -1.2z

Combine like terms: 0.8z + -1.2z = -0.4z
12.4 + -0.4z = -3.6 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
12.4 + -0.4z = -3.6 + 0.0
12.4 + -0.4z = -3.6

Add '-12.4' to each side of the equation.
12.4 + -12.4 + -0.4z = -3.6 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + -0.4z = -3.6 + -12.4
-0.4z = -3.6 + -12.4

Combine like terms: -3.6 + -12.4 = -16
-0.4z = -16

Divide each side by '-0.4'.
z = 40

Simplifying
z = 40