2z+9=3z+7

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Solution for 2z+9=3z+7 equation:


Simplifying
2z + 9 = 3z + 7

Reorder the terms:
9 + 2z = 3z + 7

Reorder the terms:
9 + 2z = 7 + 3z

Solving
9 + 2z = 7 + 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 = 7 + 3z + -3z

Combine like terms: 2z + -3z = -1z
9 + -1z = 7 + 3z + -3z

Combine like terms: 3z + -3z = 0
9 + -1z = 7 + 0
9 + -1z = 7

Add '-9' to each side of the equation.
9 + -9 + -1z = 7 + -9

Combine like terms: 9 + -9 = 0
0 + -1z = 7 + -9
-1z = 7 + -9

Combine like terms: 7 + -9 = -2
-1z = -2

Divide each side by '-1'.
z = 2

Simplifying
z = 2

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