4z+31=14z-69

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Solution for 4z+31=14z-69 equation:


Simplifying
4z + 31 = 14z + -69

Reorder the terms:
31 + 4z = 14z + -69

Reorder the terms:
31 + 4z = -69 + 14z

Solving
31 + 4z = -69 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
31 + 4z + -14z = -69 + 14z + -14z

Combine like terms: 4z + -14z = -10z
31 + -10z = -69 + 14z + -14z

Combine like terms: 14z + -14z = 0
31 + -10z = -69 + 0
31 + -10z = -69

Add '-31' to each side of the equation.
31 + -31 + -10z = -69 + -31

Combine like terms: 31 + -31 = 0
0 + -10z = -69 + -31
-10z = -69 + -31

Combine like terms: -69 + -31 = -100
-10z = -100

Divide each side by '-10'.
z = 10

Simplifying
z = 10

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