0.5z+12.5-0.25z+2=0.75z+10

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Solution for 0.5z+12.5-0.25z+2=0.75z+10 equation: 


Simplifying
0.5z + 12.5 + -0.25z + 2 = 0.75z + 10

Reorder the terms:
12.5 + 2 + 0.5z + -0.25z = 0.75z + 10

Combine like terms: 12.5 + 2 = 14.5
14.5 + 0.5z + -0.25z = 0.75z + 10

Combine like terms: 0.5z + -0.25z = 0.25z
14.5 + 0.25z = 0.75z + 10

Reorder the terms:
14.5 + 0.25z = 10 + 0.75z

Solving
14.5 + 0.25z = 10 + 0.75z

Solving for variable 'z'.

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

Add '-0.75z' to each side of the equation.
14.5 + 0.25z + -0.75z = 10 + 0.75z + -0.75z

Combine like terms: 0.25z + -0.75z = -0.5z
14.5 + -0.5z = 10 + 0.75z + -0.75z

Combine like terms: 0.75z + -0.75z = 0.00
14.5 + -0.5z = 10 + 0.00
14.5 + -0.5z = 10

Add '-14.5' to each side of the equation.
14.5 + -14.5 + -0.5z = 10 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + -0.5z = 10 + -14.5
-0.5z = 10 + -14.5

Combine like terms: 10 + -14.5 = -4.5
-0.5z = -4.5

Divide each side by '-0.5'.
z = 9

Simplifying
z = 9

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