4z+3(4-z)=-(z-1)+5

Solution for 4z+3(4-z)=-(z-1)+5 equation:

Simplifying
4z + 3(4 + -1z) = -1(z + -1) + 5
4z + (4 * 3 + -1z * 3) = -1(z + -1) + 5
4z + (12 + -3z) = -1(z + -1) + 5

Reorder the terms:
12 + 4z + -3z = -1(z + -1) + 5

Combine like terms: 4z + -3z = 1z
12 + 1z = -1(z + -1) + 5

Reorder the terms:
12 + 1z = -1(-1 + z) + 5
12 + 1z = (-1 * -1 + z * -1) + 5
12 + 1z = (1 + -1z) + 5

Reorder the terms:
12 + 1z = 1 + 5 + -1z

Combine like terms: 1 + 5 = 6
12 + 1z = 6 + -1z

Solving
12 + 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.
12 + 1z + z = 6 + -1z + z

Combine like terms: 1z + z = 2z
12 + 2z = 6 + -1z + z

Combine like terms: -1z + z = 0
12 + 2z = 6 + 0
12 + 2z = 6

Add '-12' to each side of the equation.
12 + -12 + 2z = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 2z = 6 + -12
2z = 6 + -12

Combine like terms: 6 + -12 = -6
2z = -6

Divide each side by '2'.
z = -3

Simplifying
z = -3