33z+11=20z-80

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Solution for 33z+11=20z-80 equation:


Simplifying
33z + 11 = 20z + -80

Reorder the terms:
11 + 33z = 20z + -80

Reorder the terms:
11 + 33z = -80 + 20z

Solving
11 + 33z = -80 + 20z

Solving for variable 'z'.

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

Add '-20z' to each side of the equation.
11 + 33z + -20z = -80 + 20z + -20z

Combine like terms: 33z + -20z = 13z
11 + 13z = -80 + 20z + -20z

Combine like terms: 20z + -20z = 0
11 + 13z = -80 + 0
11 + 13z = -80

Add '-11' to each side of the equation.
11 + -11 + 13z = -80 + -11

Combine like terms: 11 + -11 = 0
0 + 13z = -80 + -11
13z = -80 + -11

Combine like terms: -80 + -11 = -91
13z = -91

Divide each side by '13'.
z = -7

Simplifying
z = -7

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