2z+3=4z-2

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


Simplifying
2z + 3 = 4z + -2

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

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

Solving
3 + 2z = -2 + 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.
3 + 2z + -4z = -2 + 4z + -4z

Combine like terms: 2z + -4z = -2z
3 + -2z = -2 + 4z + -4z

Combine like terms: 4z + -4z = 0
3 + -2z = -2 + 0
3 + -2z = -2

Add '-3' to each side of the equation.
3 + -3 + -2z = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -2z = -2 + -3
-2z = -2 + -3

Combine like terms: -2 + -3 = -5
-2z = -5

Divide each side by '-2'.
z = 2.5

Simplifying
z = 2.5

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