2z-10=7z-65

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Solution for 2z-10=7z-65 equation:


Simplifying
2z + -10 = 7z + -65

Reorder the terms:
-10 + 2z = 7z + -65

Reorder the terms:
-10 + 2z = -65 + 7z

Solving
-10 + 2z = -65 + 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.
-10 + 2z + -7z = -65 + 7z + -7z

Combine like terms: 2z + -7z = -5z
-10 + -5z = -65 + 7z + -7z

Combine like terms: 7z + -7z = 0
-10 + -5z = -65 + 0
-10 + -5z = -65

Add '10' to each side of the equation.
-10 + 10 + -5z = -65 + 10

Combine like terms: -10 + 10 = 0
0 + -5z = -65 + 10
-5z = -65 + 10

Combine like terms: -65 + 10 = -55
-5z = -55

Divide each side by '-5'.
z = 11

Simplifying
z = 11

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