5z+9=2z-3

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Solution for 5z+9=2z-3 equation:


Simplifying
5z + 9 = 2z + -3

Reorder the terms:
9 + 5z = 2z + -3

Reorder the terms:
9 + 5z = -3 + 2z

Solving
9 + 5z = -3 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
9 + 5z + -2z = -3 + 2z + -2z

Combine like terms: 5z + -2z = 3z
9 + 3z = -3 + 2z + -2z

Combine like terms: 2z + -2z = 0
9 + 3z = -3 + 0
9 + 3z = -3

Add '-9' to each side of the equation.
9 + -9 + 3z = -3 + -9

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

Combine like terms: -3 + -9 = -12
3z = -12

Divide each side by '3'.
z = -4

Simplifying
z = -4

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