13z+9=7z-21

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Solution for 13z+9=7z-21 equation:


Simplifying
13z + 9 = 7z + -21

Reorder the terms:
9 + 13z = 7z + -21

Reorder the terms:
9 + 13z = -21 + 7z

Solving
9 + 13z = -21 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
9 + 13z + -7z = -21 + 7z + -7z

Combine like terms: 13z + -7z = 6z
9 + 6z = -21 + 7z + -7z

Combine like terms: 7z + -7z = 0
9 + 6z = -21 + 0
9 + 6z = -21

Add '-9' to each side of the equation.
9 + -9 + 6z = -21 + -9

Combine like terms: 9 + -9 = 0
0 + 6z = -21 + -9
6z = -21 + -9

Combine like terms: -21 + -9 = -30
6z = -30

Divide each side by '6'.
z = -5

Simplifying
z = -5

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