5(2z-5)=9(z+5)

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Solution for 5(2z-5)=9(z+5) equation:


Simplifying
5(2z + -5) = 9(z + 5)

Reorder the terms:
5(-5 + 2z) = 9(z + 5)
(-5 * 5 + 2z * 5) = 9(z + 5)
(-25 + 10z) = 9(z + 5)

Reorder the terms:
-25 + 10z = 9(5 + z)
-25 + 10z = (5 * 9 + z * 9)
-25 + 10z = (45 + 9z)

Solving
-25 + 10z = 45 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-25 + 10z + -9z = 45 + 9z + -9z

Combine like terms: 10z + -9z = 1z
-25 + 1z = 45 + 9z + -9z

Combine like terms: 9z + -9z = 0
-25 + 1z = 45 + 0
-25 + 1z = 45

Add '25' to each side of the equation.
-25 + 25 + 1z = 45 + 25

Combine like terms: -25 + 25 = 0
0 + 1z = 45 + 25
1z = 45 + 25

Combine like terms: 45 + 25 = 70
1z = 70

Divide each side by '1'.
z = 70

Simplifying
z = 70

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