-24.5=3.5(7z-5.5)

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Solution for -24.5=3.5(7z-5.5) equation: 


Simplifying
-24.5 = 3.5(7z + -5.5)

Reorder the terms:
-24.5 = 3.5(-5.5 + 7z)
-24.5 = (-5.5 * 3.5 + 7z * 3.5)
-24.5 = (-19.25 + 24.5z)

Solving
-24.5 = -19.25 + 24.5z

Solving for variable 'z'.

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

Add '-24.5z' to each side of the equation.
-24.5 + -24.5z = -19.25 + 24.5z + -24.5z

Combine like terms: 24.5z + -24.5z = 0.0
-24.5 + -24.5z = -19.25 + 0.0
-24.5 + -24.5z = -19.25

Add '24.5' to each side of the equation.
-24.5 + 24.5 + -24.5z = -19.25 + 24.5

Combine like terms: -24.5 + 24.5 = 0.0
0.0 + -24.5z = -19.25 + 24.5
-24.5z = -19.25 + 24.5

Combine like terms: -19.25 + 24.5 = 5.25
-24.5z = 5.25

Divide each side by '-24.5'.
z = -0.2142857143

Simplifying
z = -0.2142857143

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