4z+16=6z-6

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Solution for 4z+16=6z-6 equation:


Simplifying
4z + 16 = 6z + -6

Reorder the terms:
16 + 4z = 6z + -6

Reorder the terms:
16 + 4z = -6 + 6z

Solving
16 + 4z = -6 + 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.
16 + 4z + -6z = -6 + 6z + -6z

Combine like terms: 4z + -6z = -2z
16 + -2z = -6 + 6z + -6z

Combine like terms: 6z + -6z = 0
16 + -2z = -6 + 0
16 + -2z = -6

Add '-16' to each side of the equation.
16 + -16 + -2z = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -2z = -6 + -16
-2z = -6 + -16

Combine like terms: -6 + -16 = -22
-2z = -22

Divide each side by '-2'.
z = 11

Simplifying
z = 11

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