-1.3z+3(-2.6-9.1z)=-39.8-44.6z

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Solution for -1.3z+3(-2.6-9.1z)=-39.8-44.6z equation: 


Simplifying
-1.3z + 3(-2.6 + -9.1z) = -39.8 + -44.6z
-1.3z + (-2.6 * 3 + -9.1z * 3) = -39.8 + -44.6z
-1.3z + (-7.8 + -27.3z) = -39.8 + -44.6z

Reorder the terms:
-7.8 + -1.3z + -27.3z = -39.8 + -44.6z

Combine like terms: -1.3z + -27.3z = -28.6z
-7.8 + -28.6z = -39.8 + -44.6z

Solving
-7.8 + -28.6z = -39.8 + -44.6z

Solving for variable 'z'.

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

Add '44.6z' to each side of the equation.
-7.8 + -28.6z + 44.6z = -39.8 + -44.6z + 44.6z

Combine like terms: -28.6z + 44.6z = 16z
-7.8 + 16z = -39.8 + -44.6z + 44.6z

Combine like terms: -44.6z + 44.6z = 0.0
-7.8 + 16z = -39.8 + 0.0
-7.8 + 16z = -39.8

Add '7.8' to each side of the equation.
-7.8 + 7.8 + 16z = -39.8 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + 16z = -39.8 + 7.8
16z = -39.8 + 7.8

Combine like terms: -39.8 + 7.8 = -32
16z = -32

Divide each side by '16'.
z = -2

Simplifying
z = -2

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