10z+6=6z-4

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Solution for 10z+6=6z-4 equation:


Simplifying
10z + 6 = 6z + -4

Reorder the terms:
6 + 10z = 6z + -4

Reorder the terms:
6 + 10z = -4 + 6z

Solving
6 + 10z = -4 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
6 + 10z + -6z = -4 + 6z + -6z

Combine like terms: 10z + -6z = 4z
6 + 4z = -4 + 6z + -6z

Combine like terms: 6z + -6z = 0
6 + 4z = -4 + 0
6 + 4z = -4

Add '-6' to each side of the equation.
6 + -6 + 4z = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 4z = -4 + -6
4z = -4 + -6

Combine like terms: -4 + -6 = -10
4z = -10

Divide each side by '4'.
z = -2.5

Simplifying
z = -2.5

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