9(z-6)=4(z+6)

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Solution for 9(z-6)=4(z+6) equation:


Simplifying
9(z + -6) = 4(z + 6)

Reorder the terms:
9(-6 + z) = 4(z + 6)
(-6 * 9 + z * 9) = 4(z + 6)
(-54 + 9z) = 4(z + 6)

Reorder the terms:
-54 + 9z = 4(6 + z)
-54 + 9z = (6 * 4 + z * 4)
-54 + 9z = (24 + 4z)

Solving
-54 + 9z = 24 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-54 + 9z + -4z = 24 + 4z + -4z

Combine like terms: 9z + -4z = 5z
-54 + 5z = 24 + 4z + -4z

Combine like terms: 4z + -4z = 0
-54 + 5z = 24 + 0
-54 + 5z = 24

Add '54' to each side of the equation.
-54 + 54 + 5z = 24 + 54

Combine like terms: -54 + 54 = 0
0 + 5z = 24 + 54
5z = 24 + 54

Combine like terms: 24 + 54 = 78
5z = 78

Divide each side by '5'.
z = 15.6

Simplifying
z = 15.6

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