(2z+10)=(4z-6)

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


Simplifying
(2z + 10) = (4z + -6)

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

Remove parenthesis around (10 + 2z)
10 + 2z = (4z + -6)

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

Remove parenthesis around (-6 + 4z)
10 + 2z = -6 + 4z

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

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

Combine like terms: 4z + -4z = 0
10 + -2z = -6 + 0
10 + -2z = -6

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

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

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

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

Simplifying
z = 8

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