5(z-4)=4z+6

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Solution for 5(z-4)=4z+6 equation:


Simplifying
5(z + -4) = 4z + 6

Reorder the terms:
5(-4 + z) = 4z + 6
(-4 * 5 + z * 5) = 4z + 6
(-20 + 5z) = 4z + 6

Reorder the terms:
-20 + 5z = 6 + 4z

Solving
-20 + 5z = 6 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-20 + 5z + -4z = 6 + 4z + -4z

Combine like terms: 5z + -4z = 1z
-20 + 1z = 6 + 4z + -4z

Combine like terms: 4z + -4z = 0
-20 + 1z = 6 + 0
-20 + 1z = 6

Add '20' to each side of the equation.
-20 + 20 + 1z = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 1z = 6 + 20
1z = 6 + 20

Combine like terms: 6 + 20 = 26
1z = 26

Divide each side by '1'.
z = 26

Simplifying
z = 26

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