-0.5z+3.5=5.1z-2.1

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Solution for -0.5z+3.5=5.1z-2.1 equation: 


Simplifying
-0.5z + 3.5 = 5.1z + -2.1

Reorder the terms:
3.5 + -0.5z = 5.1z + -2.1

Reorder the terms:
3.5 + -0.5z = -2.1 + 5.1z

Solving
3.5 + -0.5z = -2.1 + 5.1z

Solving for variable 'z'.

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

Add '-5.1z' to each side of the equation.
3.5 + -0.5z + -5.1z = -2.1 + 5.1z + -5.1z

Combine like terms: -0.5z + -5.1z = -5.6z
3.5 + -5.6z = -2.1 + 5.1z + -5.1z

Combine like terms: 5.1z + -5.1z = 0.0
3.5 + -5.6z = -2.1 + 0.0
3.5 + -5.6z = -2.1

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -5.6z = -2.1 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -5.6z = -2.1 + -3.5
-5.6z = -2.1 + -3.5

Combine like terms: -2.1 + -3.5 = -5.6
-5.6z = -5.6

Divide each side by '-5.6'.
z = 1

Simplifying
z = 1

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