4z+2=6z-10

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Solution for 4z+2=6z-10 equation:


Simplifying
4z + 2 = 6z + -10

Reorder the terms:
2 + 4z = 6z + -10

Reorder the terms:
2 + 4z = -10 + 6z

Solving
2 + 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.
2 + 4z + -6z = -10 + 6z + -6z

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

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

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

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

Combine like terms: -10 + -2 = -12
-2z = -12

Divide each side by '-2'.
z = 6

Simplifying
z = 6

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