0.3(4z+7)+8.3=0.4(4z-4)

Solution for 0.3(4z+7)+8.3=0.4(4z-4) equation:

Simplifying
0.3(4z + 7) + 8.3 = 0.4(4z + -4)

Reorder the terms:
0.3(7 + 4z) + 8.3 = 0.4(4z + -4)
(7 * 0.3 + 4z * 0.3) + 8.3 = 0.4(4z + -4)
(2.1 + 1.2z) + 8.3 = 0.4(4z + -4)

Reorder the terms:
2.1 + 8.3 + 1.2z = 0.4(4z + -4)

Combine like terms: 2.1 + 8.3 = 10.4
10.4 + 1.2z = 0.4(4z + -4)

Reorder the terms:
10.4 + 1.2z = 0.4(-4 + 4z)
10.4 + 1.2z = (-4 * 0.4 + 4z * 0.4)
10.4 + 1.2z = (-1.6 + 1.6z)

Solving
10.4 + 1.2z = -1.6 + 1.6z

Solving for variable 'z'.

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

Add '-1.6z' to each side of the equation.
10.4 + 1.2z + -1.6z = -1.6 + 1.6z + -1.6z

Combine like terms: 1.2z + -1.6z = -0.4z
10.4 + -0.4z = -1.6 + 1.6z + -1.6z

Combine like terms: 1.6z + -1.6z = 0.0
10.4 + -0.4z = -1.6 + 0.0
10.4 + -0.4z = -1.6

Add '-10.4' to each side of the equation.
10.4 + -10.4 + -0.4z = -1.6 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + -0.4z = -1.6 + -10.4
-0.4z = -1.6 + -10.4

Combine like terms: -1.6 + -10.4 = -12
-0.4z = -12

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

Simplifying
z = 30