0.28(8z-4)=z+8-2z

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Solution for 0.28(8z-4)=z+8-2z equation:


Simplifying
0.28(8z + -4) = z + 8 + -2z

Reorder the terms:
0.28(-4 + 8z) = z + 8 + -2z
(-4 * 0.28 + 8z * 0.28) = z + 8 + -2z
(-1.12 + 2.24z) = z + 8 + -2z

Reorder the terms:
-1.12 + 2.24z = 8 + z + -2z

Combine like terms: z + -2z = -1z
-1.12 + 2.24z = 8 + -1z

Solving
-1.12 + 2.24z = 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.
-1.12 + 2.24z + z = 8 + -1z + z

Combine like terms: 2.24z + z = 3.24z
-1.12 + 3.24z = 8 + -1z + z

Combine like terms: -1z + z = 0
-1.12 + 3.24z = 8 + 0
-1.12 + 3.24z = 8

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 3.24z = 8 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 3.24z = 8 + 1.12
3.24z = 8 + 1.12

Combine like terms: 8 + 1.12 = 9.12
3.24z = 9.12

Divide each side by '3.24'.
z = 2.814814815

Simplifying
z = 2.814814815

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