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

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


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

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

Reorder the terms:
-4 + 2z = 3(3 + z)
-4 + 2z = (3 * 3 + z * 3)
-4 + 2z = (9 + 3z)

Solving
-4 + 2z = 9 + 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 = 9 + 3z + -3z

Combine like terms: 2z + -3z = -1z
-4 + -1z = 9 + 3z + -3z

Combine like terms: 3z + -3z = 0
-4 + -1z = 9 + 0
-4 + -1z = 9

Add '4' to each side of the equation.
-4 + 4 + -1z = 9 + 4

Combine like terms: -4 + 4 = 0
0 + -1z = 9 + 4
-1z = 9 + 4

Combine like terms: 9 + 4 = 13
-1z = 13

Divide each side by '-1'.
z = -13

Simplifying
z = -13

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