7z+14=5z+11

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Solution for 7z+14=5z+11 equation:


Simplifying
7z + 14 = 5z + 11

Reorder the terms:
14 + 7z = 5z + 11

Reorder the terms:
14 + 7z = 11 + 5z

Solving
14 + 7z = 11 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
14 + 7z + -5z = 11 + 5z + -5z

Combine like terms: 7z + -5z = 2z
14 + 2z = 11 + 5z + -5z

Combine like terms: 5z + -5z = 0
14 + 2z = 11 + 0
14 + 2z = 11

Add '-14' to each side of the equation.
14 + -14 + 2z = 11 + -14

Combine like terms: 14 + -14 = 0
0 + 2z = 11 + -14
2z = 11 + -14

Combine like terms: 11 + -14 = -3
2z = -3

Divide each side by '2'.
z = -1.5

Simplifying
z = -1.5

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