13-2z+3=2z-21+3z

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Solution for 13-2z+3=2z-21+3z equation:


Simplifying
13 + -2z + 3 = 2z + -21 + 3z

Reorder the terms:
13 + 3 + -2z = 2z + -21 + 3z

Combine like terms: 13 + 3 = 16
16 + -2z = 2z + -21 + 3z

Reorder the terms:
16 + -2z = -21 + 2z + 3z

Combine like terms: 2z + 3z = 5z
16 + -2z = -21 + 5z

Solving
16 + -2z = -21 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
16 + -2z + -5z = -21 + 5z + -5z

Combine like terms: -2z + -5z = -7z
16 + -7z = -21 + 5z + -5z

Combine like terms: 5z + -5z = 0
16 + -7z = -21 + 0
16 + -7z = -21

Add '-16' to each side of the equation.
16 + -16 + -7z = -21 + -16

Combine like terms: 16 + -16 = 0
0 + -7z = -21 + -16
-7z = -21 + -16

Combine like terms: -21 + -16 = -37
-7z = -37

Divide each side by '-7'.
z = 5.285714286

Simplifying
z = 5.285714286

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