-5z-4(3-5z)=-11.4+15.6z

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Solution for -5z-4(3-5z)=-11.4+15.6z equation: 


Simplifying
-5z + -4(3 + -5z) = -11.4 + 15.6z
-5z + (3 * -4 + -5z * -4) = -11.4 + 15.6z
-5z + (-12 + 20z) = -11.4 + 15.6z

Reorder the terms:
-12 + -5z + 20z = -11.4 + 15.6z

Combine like terms: -5z + 20z = 15z
-12 + 15z = -11.4 + 15.6z

Solving
-12 + 15z = -11.4 + 15.6z

Solving for variable 'z'.

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

Add '-15.6z' to each side of the equation.
-12 + 15z + -15.6z = -11.4 + 15.6z + -15.6z

Combine like terms: 15z + -15.6z = -0.6z
-12 + -0.6z = -11.4 + 15.6z + -15.6z

Combine like terms: 15.6z + -15.6z = 0.0
-12 + -0.6z = -11.4 + 0.0
-12 + -0.6z = -11.4

Add '12' to each side of the equation.
-12 + 12 + -0.6z = -11.4 + 12

Combine like terms: -12 + 12 = 0
0 + -0.6z = -11.4 + 12
-0.6z = -11.4 + 12

Combine like terms: -11.4 + 12 = 0.6
-0.6z = 0.6

Divide each side by '-0.6'.
z = -1

Simplifying
z = -1

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