2z+10=4z-16

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Solution for 2z+10=4z-16 equation:


Simplifying
2z + 10 = 4z + -16

Reorder the terms:
10 + 2z = 4z + -16

Reorder the terms:
10 + 2z = -16 + 4z

Solving
10 + 2z = -16 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
10 + 2z + -4z = -16 + 4z + -4z

Combine like terms: 2z + -4z = -2z
10 + -2z = -16 + 4z + -4z

Combine like terms: 4z + -4z = 0
10 + -2z = -16 + 0
10 + -2z = -16

Add '-10' to each side of the equation.
10 + -10 + -2z = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -2z = -16 + -10
-2z = -16 + -10

Combine like terms: -16 + -10 = -26
-2z = -26

Divide each side by '-2'.
z = 13

Simplifying
z = 13

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