z+6=2z-4

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


Simplifying
z + 6 = 2z + -4

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

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

Solving
6 + z = -4 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
6 + z + -2z = -4 + 2z + -2z

Combine like terms: z + -2z = -1z
6 + -1z = -4 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + -1z = -4 + 0
6 + -1z = -4

Add '-6' to each side of the equation.
6 + -6 + -1z = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = -4 + -6
-1z = -4 + -6

Combine like terms: -4 + -6 = -10
-1z = -10

Divide each side by '-1'.
z = 10

Simplifying
z = 10

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