2(z+2)=3z+2

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


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

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

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

Solving
4 + 2z = 2 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
4 + 2z + -3z = 2 + 3z + -3z

Combine like terms: 2z + -3z = -1z
4 + -1z = 2 + 3z + -3z

Combine like terms: 3z + -3z = 0
4 + -1z = 2 + 0
4 + -1z = 2

Add '-4' to each side of the equation.
4 + -4 + -1z = 2 + -4

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

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

Divide each side by '-1'.
z = 2

Simplifying
z = 2

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