5(2-4)-z=4z-20

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Solution for 5(2-4)-z=4z-20 equation:


Simplifying
5(2 + -4) + -1z = 4z + -20

Combine like terms: 2 + -4 = -2
5(-2) + -1z = 4z + -20

Multiply 5 * -2
-10 + -1z = 4z + -20

Reorder the terms:
-10 + -1z = -20 + 4z

Solving
-10 + -1z = -20 + 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.
-10 + -1z + -4z = -20 + 4z + -4z

Combine like terms: -1z + -4z = -5z
-10 + -5z = -20 + 4z + -4z

Combine like terms: 4z + -4z = 0
-10 + -5z = -20 + 0
-10 + -5z = -20

Add '10' to each side of the equation.
-10 + 10 + -5z = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -5z = -20 + 10
-5z = -20 + 10

Combine like terms: -20 + 10 = -10
-5z = -10

Divide each side by '-5'.
z = 2

Simplifying
z = 2

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