.5z-1=4z-3-3z

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Solution for .5z-1=4z-3-3z equation:


Simplifying
0.5z + -1 = 4z + -3 + -3z

Reorder the terms:
-1 + 0.5z = 4z + -3 + -3z

Reorder the terms:
-1 + 0.5z = -3 + 4z + -3z

Combine like terms: 4z + -3z = 1z
-1 + 0.5z = -3 + 1z

Solving
-1 + 0.5z = -3 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-1 + 0.5z + -1z = -3 + 1z + -1z

Combine like terms: 0.5z + -1z = -0.5z
-1 + -0.5z = -3 + 1z + -1z

Combine like terms: 1z + -1z = 0
-1 + -0.5z = -3 + 0
-1 + -0.5z = -3

Add '1' to each side of the equation.
-1 + 1 + -0.5z = -3 + 1

Combine like terms: -1 + 1 = 0
0 + -0.5z = -3 + 1
-0.5z = -3 + 1

Combine like terms: -3 + 1 = -2
-0.5z = -2

Divide each side by '-0.5'.
z = 4

Simplifying
z = 4

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