16.5=2.5(6.5z-4)

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Solution for 16.5=2.5(6.5z-4) equation:


Simplifying
16.5 = 2.5(6.5z + -4)

Reorder the terms:
16.5 = 2.5(-4 + 6.5z)
16.5 = (-4 * 2.5 + 6.5z * 2.5)
16.5 = (-10 + 16.25z)

Solving
16.5 = -10 + 16.25z

Solving for variable 'z'.

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

Add '-16.25z' to each side of the equation.
16.5 + -16.25z = -10 + 16.25z + -16.25z

Combine like terms: 16.25z + -16.25z = 0.00
16.5 + -16.25z = -10 + 0.00
16.5 + -16.25z = -10

Add '-16.5' to each side of the equation.
16.5 + -16.5 + -16.25z = -10 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -16.25z = -10 + -16.5
-16.25z = -10 + -16.5

Combine like terms: -10 + -16.5 = -26.5
-16.25z = -26.5

Divide each side by '-16.25'.
z = 1.630769231

Simplifying
z = 1.630769231

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