-9z+5+7z=3z+10

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Solution for -9z+5+7z=3z+10 equation:


Simplifying
-9z + 5 + 7z = 3z + 10

Reorder the terms:
5 + -9z + 7z = 3z + 10

Combine like terms: -9z + 7z = -2z
5 + -2z = 3z + 10

Reorder the terms:
5 + -2z = 10 + 3z

Solving
5 + -2z = 10 + 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.
5 + -2z + -3z = 10 + 3z + -3z

Combine like terms: -2z + -3z = -5z
5 + -5z = 10 + 3z + -3z

Combine like terms: 3z + -3z = 0
5 + -5z = 10 + 0
5 + -5z = 10

Add '-5' to each side of the equation.
5 + -5 + -5z = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -5z = 10 + -5
-5z = 10 + -5

Combine like terms: 10 + -5 = 5
-5z = 5

Divide each side by '-5'.
z = -1

Simplifying
z = -1

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