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

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

Simplifying
5z + 4(4 + -1z) = -1(z + -5) + 1
5z + (4 * 4 + -1z * 4) = -1(z + -5) + 1
5z + (16 + -4z) = -1(z + -5) + 1

Reorder the terms:
16 + 5z + -4z = -1(z + -5) + 1

Combine like terms: 5z + -4z = 1z
16 + 1z = -1(z + -5) + 1

Reorder the terms:
16 + 1z = -1(-5 + z) + 1
16 + 1z = (-5 * -1 + z * -1) + 1
16 + 1z = (5 + -1z) + 1

Reorder the terms:
16 + 1z = 5 + 1 + -1z

Combine like terms: 5 + 1 = 6
16 + 1z = 6 + -1z

Solving
16 + 1z = 6 + -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.
16 + 1z + z = 6 + -1z + z

Combine like terms: 1z + z = 2z
16 + 2z = 6 + -1z + z

Combine like terms: -1z + z = 0
16 + 2z = 6 + 0
16 + 2z = 6

Add '-16' to each side of the equation.
16 + -16 + 2z = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 2z = 6 + -16
2z = 6 + -16

Combine like terms: 6 + -16 = -10
2z = -10

Divide each side by '2'.
z = -5

Simplifying
z = -5