5z+4(5-z)=(z-3)+11

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Solution for 5z+4(5-z)=(z-3)+11 equation: 


Simplifying
5z + 4(5 + -1z) = (z + -3) + 11
5z + (5 * 4 + -1z * 4) = (z + -3) + 11
5z + (20 + -4z) = (z + -3) + 11

Reorder the terms:
20 + 5z + -4z = (z + -3) + 11

Combine like terms: 5z + -4z = 1z
20 + 1z = (z + -3) + 11

Reorder the terms:
20 + 1z = (-3 + z) + 11

Remove parenthesis around (-3 + z)
20 + 1z = -3 + z + 11

Reorder the terms:
20 + 1z = -3 + 11 + z

Combine like terms: -3 + 11 = 8
20 + 1z = 8 + z

Solving
20 + 1z = 8 + z

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.
20 + 1z + -1z = 8 + z + -1z

Combine like terms: 1z + -1z = 0
20 + 0 = 8 + z + -1z
20 = 8 + z + -1z

Combine like terms: z + -1z = 0
20 = 8 + 0
20 = 8

Add '-20' to each side of the equation.
20 + -20 = 8 + -20

Combine like terms: 20 + -20 = 0
0 = 8 + -20

Combine like terms: 8 + -20 = -12
0 = -12

Simplifying
0 = -12

Combine like terms: 0 + 12 = 12
12 = -12 + 12

Combine like terms: -12 + 12 = 0
12 = 0

The solution to this equation could not be determined.

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