5(20-2y-2z)+10y+z=100

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Solution for 5(20-2y-2z)+10y+z=100 equation:


Simplifying
5(20 + -2y + -2z) + 10y + z = 100
(20 * 5 + -2y * 5 + -2z * 5) + 10y + z = 100
(100 + -10y + -10z) + 10y + z = 100

Reorder the terms:
100 + -10y + 10y + -10z + z = 100

Combine like terms: -10y + 10y = 0
100 + 0 + -10z + z = 100
100 + -10z + z = 100

Combine like terms: -10z + z = -9z
100 + -9z = 100

Add '-100' to each side of the equation.
100 + -100 + -9z = 100 + -100

Combine like terms: 100 + -100 = 0
0 + -9z = 100 + -100
-9z = 100 + -100

Combine like terms: 100 + -100 = 0
-9z = 0

Solving
-9z = 0

Solving for variable 'z'.

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

Divide each side by '-9'.
z = 0

Simplifying
z = 0

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