2z+4=2(2z-3)

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Solution for 2z+4=2(2z-3) equation:


Simplifying
2z + 4 = 2(2z + -3)

Reorder the terms:
4 + 2z = 2(2z + -3)

Reorder the terms:
4 + 2z = 2(-3 + 2z)
4 + 2z = (-3 * 2 + 2z * 2)
4 + 2z = (-6 + 4z)

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

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

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

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

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

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

Divide each side by '-2'.
z = 5

Simplifying
z = 5

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