2.5(z-12)=0.5(z-16)

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Solution for 2.5(z-12)=0.5(z-16) equation:


Simplifying
2.5(z + -12) = 0.5(z + -16)

Reorder the terms:
2.5(-12 + z) = 0.5(z + -16)
(-12 * 2.5 + z * 2.5) = 0.5(z + -16)
(-30 + 2.5z) = 0.5(z + -16)

Reorder the terms:
-30 + 2.5z = 0.5(-16 + z)
-30 + 2.5z = (-16 * 0.5 + z * 0.5)
-30 + 2.5z = (-8 + 0.5z)

Solving
-30 + 2.5z = -8 + 0.5z

Solving for variable 'z'.

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

Add '-0.5z' to each side of the equation.
-30 + 2.5z + -0.5z = -8 + 0.5z + -0.5z

Combine like terms: 2.5z + -0.5z = 2z
-30 + 2z = -8 + 0.5z + -0.5z

Combine like terms: 0.5z + -0.5z = 0.0
-30 + 2z = -8 + 0.0
-30 + 2z = -8

Add '30' to each side of the equation.
-30 + 30 + 2z = -8 + 30

Combine like terms: -30 + 30 = 0
0 + 2z = -8 + 30
2z = -8 + 30

Combine like terms: -8 + 30 = 22
2z = 22

Divide each side by '2'.
z = 11

Simplifying
z = 11

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