4z+6=6z-10

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


Simplifying
4z + 6 = 6z + -10

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

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

Solving
6 + 4z = -10 + 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 + 4z + -6z = -10 + 6z + -6z

Combine like terms: 4z + -6z = -2z
6 + -2z = -10 + 6z + -6z

Combine like terms: 6z + -6z = 0
6 + -2z = -10 + 0
6 + -2z = -10

Add '-6' to each side of the equation.
6 + -6 + -2z = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = -10 + -6
-2z = -10 + -6

Combine like terms: -10 + -6 = -16
-2z = -16

Divide each side by '-2'.
z = 8

Simplifying
z = 8

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