0.8(z-6)=0.3(z-8)

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Solution for 0.8(z-6)=0.3(z-8) equation: 


Simplifying
0.8(z + -6) = 0.3(z + -8)

Reorder the terms:
0.8(-6 + z) = 0.3(z + -8)
(-6 * 0.8 + z * 0.8) = 0.3(z + -8)
(-4.8 + 0.8z) = 0.3(z + -8)

Reorder the terms:
-4.8 + 0.8z = 0.3(-8 + z)
-4.8 + 0.8z = (-8 * 0.3 + z * 0.3)
-4.8 + 0.8z = (-2.4 + 0.3z)

Solving
-4.8 + 0.8z = -2.4 + 0.3z

Solving for variable 'z'.

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

Add '-0.3z' to each side of the equation.
-4.8 + 0.8z + -0.3z = -2.4 + 0.3z + -0.3z

Combine like terms: 0.8z + -0.3z = 0.5z
-4.8 + 0.5z = -2.4 + 0.3z + -0.3z

Combine like terms: 0.3z + -0.3z = 0.0
-4.8 + 0.5z = -2.4 + 0.0
-4.8 + 0.5z = -2.4

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 0.5z = -2.4 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 0.5z = -2.4 + 4.8
0.5z = -2.4 + 4.8

Combine like terms: -2.4 + 4.8 = 2.4
0.5z = 2.4

Divide each side by '0.5'.
z = 4.8

Simplifying
z = 4.8

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