2z+4=5z-17

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Solution for 2z+4=5z-17 equation:


Simplifying
2z + 4 = 5z + -17

Reorder the terms:
4 + 2z = 5z + -17

Reorder the terms:
4 + 2z = -17 + 5z

Solving
4 + 2z = -17 + 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.
4 + 2z + -5z = -17 + 5z + -5z

Combine like terms: 2z + -5z = -3z
4 + -3z = -17 + 5z + -5z

Combine like terms: 5z + -5z = 0
4 + -3z = -17 + 0
4 + -3z = -17

Add '-4' to each side of the equation.
4 + -4 + -3z = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -3z = -17 + -4
-3z = -17 + -4

Combine like terms: -17 + -4 = -21
-3z = -21

Divide each side by '-3'.
z = 7

Simplifying
z = 7

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