0.4(4z+6)+42.8=0.7(4z-4)

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Solution for 0.4(4z+6)+42.8=0.7(4z-4) equation: 


Simplifying
0.4(4z + 6) + 42.8 = 0.7(4z + -4)

Reorder the terms:
0.4(6 + 4z) + 42.8 = 0.7(4z + -4)
(6 * 0.4 + 4z * 0.4) + 42.8 = 0.7(4z + -4)
(2.4 + 1.6z) + 42.8 = 0.7(4z + -4)

Reorder the terms:
2.4 + 42.8 + 1.6z = 0.7(4z + -4)

Combine like terms: 2.4 + 42.8 = 45.2
45.2 + 1.6z = 0.7(4z + -4)

Reorder the terms:
45.2 + 1.6z = 0.7(-4 + 4z)
45.2 + 1.6z = (-4 * 0.7 + 4z * 0.7)
45.2 + 1.6z = (-2.8 + 2.8z)

Solving
45.2 + 1.6z = -2.8 + 2.8z

Solving for variable 'z'.

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

Add '-2.8z' to each side of the equation.
45.2 + 1.6z + -2.8z = -2.8 + 2.8z + -2.8z

Combine like terms: 1.6z + -2.8z = -1.2z
45.2 + -1.2z = -2.8 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
45.2 + -1.2z = -2.8 + 0.0
45.2 + -1.2z = -2.8

Add '-45.2' to each side of the equation.
45.2 + -45.2 + -1.2z = -2.8 + -45.2

Combine like terms: 45.2 + -45.2 = 0.0
0.0 + -1.2z = -2.8 + -45.2
-1.2z = -2.8 + -45.2

Combine like terms: -2.8 + -45.2 = -48
-1.2z = -48

Divide each side by '-1.2'.
z = 40

Simplifying
z = 40

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