11z+44-3z+6=4z-16+3z-9

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Solution for 11z+44-3z+6=4z-16+3z-9 equation: 


Simplifying
11z + 44 + -3z + 6 = 4z + -16 + 3z + -9

Reorder the terms:
44 + 6 + 11z + -3z = 4z + -16 + 3z + -9

Combine like terms: 44 + 6 = 50
50 + 11z + -3z = 4z + -16 + 3z + -9

Combine like terms: 11z + -3z = 8z
50 + 8z = 4z + -16 + 3z + -9

Reorder the terms:
50 + 8z = -16 + -9 + 4z + 3z

Combine like terms: -16 + -9 = -25
50 + 8z = -25 + 4z + 3z

Combine like terms: 4z + 3z = 7z
50 + 8z = -25 + 7z

Solving
50 + 8z = -25 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
50 + 8z + -7z = -25 + 7z + -7z

Combine like terms: 8z + -7z = 1z
50 + 1z = -25 + 7z + -7z

Combine like terms: 7z + -7z = 0
50 + 1z = -25 + 0
50 + 1z = -25

Add '-50' to each side of the equation.
50 + -50 + 1z = -25 + -50

Combine like terms: 50 + -50 = 0
0 + 1z = -25 + -50
1z = -25 + -50

Combine like terms: -25 + -50 = -75
1z = -75

Divide each side by '1'.
z = -75

Simplifying
z = -75

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