0.25(z-4)=z+8-2z

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Solution for 0.25(z-4)=z+8-2z equation:


Simplifying
0.25(z + -4) = z + 8 + -2z

Reorder the terms:
0.25(-4 + z) = z + 8 + -2z
(-4 * 0.25 + z * 0.25) = z + 8 + -2z
(-1 + 0.25z) = z + 8 + -2z

Reorder the terms:
-1 + 0.25z = 8 + z + -2z

Combine like terms: z + -2z = -1z
-1 + 0.25z = 8 + -1z

Solving
-1 + 0.25z = 8 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-1 + 0.25z + z = 8 + -1z + z

Combine like terms: 0.25z + z = 1.25z
-1 + 1.25z = 8 + -1z + z

Combine like terms: -1z + z = 0
-1 + 1.25z = 8 + 0
-1 + 1.25z = 8

Add '1' to each side of the equation.
-1 + 1 + 1.25z = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 1.25z = 8 + 1
1.25z = 8 + 1

Combine like terms: 8 + 1 = 9
1.25z = 9

Divide each side by '1.25'.
z = 7.2

Simplifying
z = 7.2

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