4z+7+2z=5-z

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Solution for 4z+7+2z=5-z equation:


Simplifying
4z + 7 + 2z = 5 + -1z

Reorder the terms:
7 + 4z + 2z = 5 + -1z

Combine like terms: 4z + 2z = 6z
7 + 6z = 5 + -1z

Solving
7 + 6z = 5 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
7 + 6z + z = 5 + -1z + z

Combine like terms: 6z + z = 7z
7 + 7z = 5 + -1z + z

Combine like terms: -1z + z = 0
7 + 7z = 5 + 0
7 + 7z = 5

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

Combine like terms: 7 + -7 = 0
0 + 7z = 5 + -7
7z = 5 + -7

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

Divide each side by '7'.
z = -0.2857142857

Simplifying
z = -0.2857142857

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