-4z+9=34+7z-3

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Solution for -4z+9=34+7z-3 equation:


Simplifying
-4z + 9 = 34 + 7z + -3

Reorder the terms:
9 + -4z = 34 + 7z + -3

Reorder the terms:
9 + -4z = 34 + -3 + 7z

Combine like terms: 34 + -3 = 31
9 + -4z = 31 + 7z

Solving
9 + -4z = 31 + 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.
9 + -4z + -7z = 31 + 7z + -7z

Combine like terms: -4z + -7z = -11z
9 + -11z = 31 + 7z + -7z

Combine like terms: 7z + -7z = 0
9 + -11z = 31 + 0
9 + -11z = 31

Add '-9' to each side of the equation.
9 + -9 + -11z = 31 + -9

Combine like terms: 9 + -9 = 0
0 + -11z = 31 + -9
-11z = 31 + -9

Combine like terms: 31 + -9 = 22
-11z = 22

Divide each side by '-11'.
z = -2

Simplifying
z = -2

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