5z+4(5-z)=-(z-1)+11

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Solution for 5z+4(5-z)=-(z-1)+11 equation: 


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

Reorder the terms:
20 + 5z + -4z = -1(z + -1) + 11

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

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

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

Combine like terms: 1 + 11 = 12
20 + 1z = 12 + -1z

Solving
20 + 1z = 12 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
20 + 1z + z = 12 + -1z + z

Combine like terms: 1z + z = 2z
20 + 2z = 12 + -1z + z

Combine like terms: -1z + z = 0
20 + 2z = 12 + 0
20 + 2z = 12

Add '-20' to each side of the equation.
20 + -20 + 2z = 12 + -20

Combine like terms: 20 + -20 = 0
0 + 2z = 12 + -20
2z = 12 + -20

Combine like terms: 12 + -20 = -8
2z = -8

Divide each side by '2'.
z = -4

Simplifying
z = -4

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