4z+17=7z+26

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Solution for 4z+17=7z+26 equation:


Simplifying
4z + 17 = 7z + 26

Reorder the terms:
17 + 4z = 7z + 26

Reorder the terms:
17 + 4z = 26 + 7z

Solving
17 + 4z = 26 + 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.
17 + 4z + -7z = 26 + 7z + -7z

Combine like terms: 4z + -7z = -3z
17 + -3z = 26 + 7z + -7z

Combine like terms: 7z + -7z = 0
17 + -3z = 26 + 0
17 + -3z = 26

Add '-17' to each side of the equation.
17 + -17 + -3z = 26 + -17

Combine like terms: 17 + -17 = 0
0 + -3z = 26 + -17
-3z = 26 + -17

Combine like terms: 26 + -17 = 9
-3z = 9

Divide each side by '-3'.
z = -3

Simplifying
z = -3

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