5(z-3)-(5-z)=0

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Solution for 5(z-3)-(5-z)=0 equation:


Simplifying
5(z + -3) + -1(5 + -1z) = 0

Reorder the terms:
5(-3 + z) + -1(5 + -1z) = 0
(-3 * 5 + z * 5) + -1(5 + -1z) = 0
(-15 + 5z) + -1(5 + -1z) = 0
-15 + 5z + (5 * -1 + -1z * -1) = 0
-15 + 5z + (-5 + 1z) = 0

Reorder the terms:
-15 + -5 + 5z + 1z = 0

Combine like terms: -15 + -5 = -20
-20 + 5z + 1z = 0

Combine like terms: 5z + 1z = 6z
-20 + 6z = 0

Solving
-20 + 6z = 0

Solving for variable 'z'.

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

Add '20' to each side of the equation.
-20 + 20 + 6z = 0 + 20

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

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

Divide each side by '6'.
z = 3.333333333

Simplifying
z = 3.333333333

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