9+(z+1)-4(z-3)=2(z-4)+2(z-4)

Solution for 9+(z+1)-4(z-3)=2(z-4)+2(z-4) equation:

Simplifying
9 + (z + 1) + -4(z + -3) = 2(z + -4) + 2(z + -4)

Reorder the terms:
9 + (1 + z) + -4(z + -3) = 2(z + -4) + 2(z + -4)

Remove parenthesis around (1 + z)
9 + 1 + z + -4(z + -3) = 2(z + -4) + 2(z + -4)

Reorder the terms:
9 + 1 + z + -4(-3 + z) = 2(z + -4) + 2(z + -4)
9 + 1 + z + (-3 * -4 + z * -4) = 2(z + -4) + 2(z + -4)
9 + 1 + z + (12 + -4z) = 2(z + -4) + 2(z + -4)

Reorder the terms:
9 + 1 + 12 + z + -4z = 2(z + -4) + 2(z + -4)

Combine like terms: 9 + 1 = 10
10 + 12 + z + -4z = 2(z + -4) + 2(z + -4)

Combine like terms: 10 + 12 = 22
22 + z + -4z = 2(z + -4) + 2(z + -4)

Combine like terms: z + -4z = -3z
22 + -3z = 2(z + -4) + 2(z + -4)

Reorder the terms:
22 + -3z = 2(-4 + z) + 2(z + -4)
22 + -3z = (-4 * 2 + z * 2) + 2(z + -4)
22 + -3z = (-8 + 2z) + 2(z + -4)

Reorder the terms:
22 + -3z = -8 + 2z + 2(-4 + z)
22 + -3z = -8 + 2z + (-4 * 2 + z * 2)
22 + -3z = -8 + 2z + (-8 + 2z)

Reorder the terms:
22 + -3z = -8 + -8 + 2z + 2z

Combine like terms: -8 + -8 = -16
22 + -3z = -16 + 2z + 2z

Combine like terms: 2z + 2z = 4z
22 + -3z = -16 + 4z

Solving
22 + -3z = -16 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
22 + -3z + -4z = -16 + 4z + -4z

Combine like terms: -3z + -4z = -7z
22 + -7z = -16 + 4z + -4z

Combine like terms: 4z + -4z = 0
22 + -7z = -16 + 0
22 + -7z = -16

Add '-22' to each side of the equation.
22 + -22 + -7z = -16 + -22

Combine like terms: 22 + -22 = 0
0 + -7z = -16 + -22
-7z = -16 + -22

Combine like terms: -16 + -22 = -38
-7z = -38

Divide each side by '-7'.
z = 5.428571429

Simplifying
z = 5.428571429