20z+0.67(6z-48)-pz=14z+0.2(50z-250)-9Z

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Solution for 20z+0.67(6z-48)-pz=14z+0.2(50z-250)-9Z equation: 


Simplifying
20z + 0.67(6z + -48) + -1pz = 14z + 0.2(50z + -250) + -9Z

Reorder the terms:
20z + 0.67(-48 + 6z) + -1pz = 14z + 0.2(50z + -250) + -9Z
20z + (-48 * 0.67 + 6z * 0.67) + -1pz = 14z + 0.2(50z + -250) + -9Z
20z + (-32.16 + 4.02z) + -1pz = 14z + 0.2(50z + -250) + -9Z

Reorder the terms:
-32.16 + -1pz + 20z + 4.02z = 14z + 0.2(50z + -250) + -9Z

Combine like terms: 20z + 4.02z = 24.02z
-32.16 + -1pz + 24.02z = 14z + 0.2(50z + -250) + -9Z

Reorder the terms:
-32.16 + -1pz + 24.02z = 14z + 0.2(-250 + 50z) + -9Z
-32.16 + -1pz + 24.02z = 14z + (-250 * 0.2 + 50z * 0.2) + -9Z
-32.16 + -1pz + 24.02z = 14z + (-50 + 10z) + -9Z

Reorder the terms:
-32.16 + -1pz + 24.02z = -50 + -9Z + 14z + 10z

Combine like terms: 14z + 10z = 24z
-32.16 + -1pz + 24.02z = -50 + -9Z + 24z

Solving
-32.16 + -1pz + 24.02z = -50 + -9Z + 24z

Solving for variable 'p'.

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

Add '32.16' to each side of the equation.
-32.16 + -1pz + 32.16 + 24.02z = -50 + -9Z + 32.16 + 24z

Reorder the terms:
-32.16 + 32.16 + -1pz + 24.02z = -50 + -9Z + 32.16 + 24z

Combine like terms: -32.16 + 32.16 = 0.00
0.00 + -1pz + 24.02z = -50 + -9Z + 32.16 + 24z
-1pz + 24.02z = -50 + -9Z + 32.16 + 24z

Reorder the terms:
-1pz + 24.02z = -50 + 32.16 + -9Z + 24z

Combine like terms: -50 + 32.16 = -17.84
-1pz + 24.02z = -17.84 + -9Z + 24z

Add '-24.02z' to each side of the equation.
-1pz + 24.02z + -24.02z = -17.84 + -9Z + 24z + -24.02z

Combine like terms: 24.02z + -24.02z = 0.00
-1pz + 0.00 = -17.84 + -9Z + 24z + -24.02z
-1pz = -17.84 + -9Z + 24z + -24.02z

Combine like terms: 24z + -24.02z = -0.02z
-1pz = -17.84 + -9Z + -0.02z

Divide each side by '-1z'.
p = 17.84z-1 + 9z-1Z + 0.02

Simplifying
p = 17.84z-1 + 9z-1Z + 0.02

Reorder the terms:
p = 0.02 + 17.84z-1 + 9z-1Z

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