40-7z=10z-4

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Solution for 40-7z=10z-4 equation:


Simplifying
40 + -7z = 10z + -4

Reorder the terms:
40 + -7z = -4 + 10z

Solving
40 + -7z = -4 + 10z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-10z' to each side of the equation.
40 + -7z + -10z = -4 + 10z + -10z

Combine like terms: -7z + -10z = -17z
40 + -17z = -4 + 10z + -10z

Combine like terms: 10z + -10z = 0
40 + -17z = -4 + 0
40 + -17z = -4

Add '-40' to each side of the equation.
40 + -40 + -17z = -4 + -40

Combine like terms: 40 + -40 = 0
0 + -17z = -4 + -40
-17z = -4 + -40

Combine like terms: -4 + -40 = -44
-17z = -44

Divide each side by '-17'.
z = 2.588235294

Simplifying
z = 2.588235294

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