2z+9=14-3z

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Solution for 2z+9=14-3z equation:


Simplifying
2z + 9 = 14 + -3z

Reorder the terms:
9 + 2z = 14 + -3z

Solving
9 + 2z = 14 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
9 + 2z + 3z = 14 + -3z + 3z

Combine like terms: 2z + 3z = 5z
9 + 5z = 14 + -3z + 3z

Combine like terms: -3z + 3z = 0
9 + 5z = 14 + 0
9 + 5z = 14

Add '-9' to each side of the equation.
9 + -9 + 5z = 14 + -9

Combine like terms: 9 + -9 = 0
0 + 5z = 14 + -9
5z = 14 + -9

Combine like terms: 14 + -9 = 5
5z = 5

Divide each side by '5'.
z = 1

Simplifying
z = 1

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