10z-2=7z-7.4

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Solution for 10z-2=7z-7.4 equation:


Simplifying
10z + -2 = 7z + -7.4

Reorder the terms:
-2 + 10z = 7z + -7.4

Reorder the terms:
-2 + 10z = -7.4 + 7z

Solving
-2 + 10z = -7.4 + 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.
-2 + 10z + -7z = -7.4 + 7z + -7z

Combine like terms: 10z + -7z = 3z
-2 + 3z = -7.4 + 7z + -7z

Combine like terms: 7z + -7z = 0
-2 + 3z = -7.4 + 0
-2 + 3z = -7.4

Add '2' to each side of the equation.
-2 + 2 + 3z = -7.4 + 2

Combine like terms: -2 + 2 = 0
0 + 3z = -7.4 + 2
3z = -7.4 + 2

Combine like terms: -7.4 + 2 = -5.4
3z = -5.4

Divide each side by '3'.
z = -1.8

Simplifying
z = -1.8

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