.75(8z-12)=.833333333(12z-18)

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Solution for .75(8z-12)=.833333333(12z-18) equation:


Simplifying
0.75(8z + -12) = 0.833333333(12z + -18)

Reorder the terms:
0.75(-12 + 8z) = 0.833333333(12z + -18)
(-12 * 0.75 + 8z * 0.75) = 0.833333333(12z + -18)
(-9 + 6z) = 0.833333333(12z + -18)

Reorder the terms:
-9 + 6z = 0.833333333(-18 + 12z)
-9 + 6z = (-18 * 0.833333333 + 12z * 0.833333333)
-9 + 6z = (-14.99999999 + 9.999999996z)

Solving
-9 + 6z = -14.99999999 + 9.999999996z

Solving for variable 'z'.

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

Add '-9.999999996z' to each side of the equation.
-9 + 6z + -9.999999996z = -14.99999999 + 9.999999996z + -9.999999996z

Combine like terms: 6z + -9.999999996z = -3.999999996z
-9 + -3.999999996z = -14.99999999 + 9.999999996z + -9.999999996z

Combine like terms: 9.999999996z + -9.999999996z = 0.000000000
-9 + -3.999999996z = -14.99999999 + 0.000000000
-9 + -3.999999996z = -14.99999999

Add '9' to each side of the equation.
-9 + 9 + -3.999999996z = -14.99999999 + 9

Combine like terms: -9 + 9 = 0
0 + -3.999999996z = -14.99999999 + 9
-3.999999996z = -14.99999999 + 9

Combine like terms: -14.99999999 + 9 = -5.99999999
-3.999999996z = -5.99999999

Divide each side by '-3.999999996'.
z = 1.499999999

Simplifying
z = 1.499999999

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