.5z+3z+1.5=5z+2

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Solution for .5z+3z+1.5=5z+2 equation: 


Simplifying
0.5z + 3z + 1.5 = 5z + 2

Reorder the terms:
1.5 + 0.5z + 3z = 5z + 2

Combine like terms: 0.5z + 3z = 3.5z
1.5 + 3.5z = 5z + 2

Reorder the terms:
1.5 + 3.5z = 2 + 5z

Solving
1.5 + 3.5z = 2 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
1.5 + 3.5z + -5z = 2 + 5z + -5z

Combine like terms: 3.5z + -5z = -1.5z
1.5 + -1.5z = 2 + 5z + -5z

Combine like terms: 5z + -5z = 0
1.5 + -1.5z = 2 + 0
1.5 + -1.5z = 2

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -1.5z = 2 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.5z = 2 + -1.5
-1.5z = 2 + -1.5

Combine like terms: 2 + -1.5 = 0.5
-1.5z = 0.5

Divide each side by '-1.5'.
z = -0.3333333333

Simplifying
z = -0.3333333333

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