3z+11=2z+9

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Solution for 3z+11=2z+9 equation:


Simplifying
3z + 11 = 2z + 9

Reorder the terms:
11 + 3z = 2z + 9

Reorder the terms:
11 + 3z = 9 + 2z

Solving
11 + 3z = 9 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
11 + 3z + -2z = 9 + 2z + -2z

Combine like terms: 3z + -2z = 1z
11 + 1z = 9 + 2z + -2z

Combine like terms: 2z + -2z = 0
11 + 1z = 9 + 0
11 + 1z = 9

Add '-11' to each side of the equation.
11 + -11 + 1z = 9 + -11

Combine like terms: 11 + -11 = 0
0 + 1z = 9 + -11
1z = 9 + -11

Combine like terms: 9 + -11 = -2
1z = -2

Divide each side by '1'.
z = -2

Simplifying
z = -2

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