1.4(z-1)=0.4(z+0.5)

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Solution for 1.4(z-1)=0.4(z+0.5) equation: 


Simplifying
1.4(z + -1) = 0.4(z + 0.5)

Reorder the terms:
1.4(-1 + z) = 0.4(z + 0.5)
(-1 * 1.4 + z * 1.4) = 0.4(z + 0.5)
(-1.4 + 1.4z) = 0.4(z + 0.5)

Reorder the terms:
-1.4 + 1.4z = 0.4(0.5 + z)
-1.4 + 1.4z = (0.5 * 0.4 + z * 0.4)
-1.4 + 1.4z = (0.2 + 0.4z)

Solving
-1.4 + 1.4z = 0.2 + 0.4z

Solving for variable 'z'.

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

Add '-0.4z' to each side of the equation.
-1.4 + 1.4z + -0.4z = 0.2 + 0.4z + -0.4z

Combine like terms: 1.4z + -0.4z = 1z
-1.4 + 1z = 0.2 + 0.4z + -0.4z

Combine like terms: 0.4z + -0.4z = 0.0
-1.4 + 1z = 0.2 + 0.0
-1.4 + 1z = 0.2

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 1z = 0.2 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 1z = 0.2 + 1.4
1z = 0.2 + 1.4

Combine like terms: 0.2 + 1.4 = 1.6
1z = 1.6

Divide each side by '1'.
z = 1.6

Simplifying
z = 1.6

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