1.25z-1=.75z-3.5

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Solution for 1.25z-1=.75z-3.5 equation: 


Simplifying
1.25z + -1 = 0.75z + -3.5

Reorder the terms:
-1 + 1.25z = 0.75z + -3.5

Reorder the terms:
-1 + 1.25z = -3.5 + 0.75z

Solving
-1 + 1.25z = -3.5 + 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.
-1 + 1.25z + -0.75z = -3.5 + 0.75z + -0.75z

Combine like terms: 1.25z + -0.75z = 0.5z
-1 + 0.5z = -3.5 + 0.75z + -0.75z

Combine like terms: 0.75z + -0.75z = 0.00
-1 + 0.5z = -3.5 + 0.00
-1 + 0.5z = -3.5

Add '1' to each side of the equation.
-1 + 1 + 0.5z = -3.5 + 1

Combine like terms: -1 + 1 = 0
0 + 0.5z = -3.5 + 1
0.5z = -3.5 + 1

Combine like terms: -3.5 + 1 = -2.5
0.5z = -2.5

Divide each side by '0.5'.
z = -5

Simplifying
z = -5

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