0.3(4z+5)+12.9=0.4(4z-4)

Solution for 0.3(4z+5)+12.9=0.4(4z-4) equation:

Simplifying
0.3(4z + 5) + 12.9 = 0.4(4z + -4)

Reorder the terms:
0.3(5 + 4z) + 12.9 = 0.4(4z + -4)
(5 * 0.3 + 4z * 0.3) + 12.9 = 0.4(4z + -4)
(1.5 + 1.2z) + 12.9 = 0.4(4z + -4)

Reorder the terms:
1.5 + 12.9 + 1.2z = 0.4(4z + -4)

Combine like terms: 1.5 + 12.9 = 14.4
14.4 + 1.2z = 0.4(4z + -4)

Reorder the terms:
14.4 + 1.2z = 0.4(-4 + 4z)
14.4 + 1.2z = (-4 * 0.4 + 4z * 0.4)
14.4 + 1.2z = (-1.6 + 1.6z)

Solving
14.4 + 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.
14.4 + 1.2z + -1.6z = -1.6 + 1.6z + -1.6z

Combine like terms: 1.2z + -1.6z = -0.4z
14.4 + -0.4z = -1.6 + 1.6z + -1.6z

Combine like terms: 1.6z + -1.6z = 0.0
14.4 + -0.4z = -1.6 + 0.0
14.4 + -0.4z = -1.6

Add '-14.4' to each side of the equation.
14.4 + -14.4 + -0.4z = -1.6 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + -0.4z = -1.6 + -14.4
-0.4z = -1.6 + -14.4

Combine like terms: -1.6 + -14.4 = -16
-0.4z = -16

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

Simplifying
z = 40