4(3z-1)-3(Z+8)=4(z+1)

Solution for 4(3z-1)-3(Z+8)=4(z+1) equation:

Simplifying
4(3z + -1) + -3(Z + 8) = 4(z + 1)

Reorder the terms:
4(-1 + 3z) + -3(Z + 8) = 4(z + 1)
(-1 * 4 + 3z * 4) + -3(Z + 8) = 4(z + 1)
(-4 + 12z) + -3(Z + 8) = 4(z + 1)

Reorder the terms:
-4 + 12z + -3(8 + Z) = 4(z + 1)
-4 + 12z + (8 * -3 + Z * -3) = 4(z + 1)
-4 + 12z + (-24 + -3Z) = 4(z + 1)

Reorder the terms:
-4 + -24 + -3Z + 12z = 4(z + 1)

Combine like terms: -4 + -24 = -28
-28 + -3Z + 12z = 4(z + 1)

Reorder the terms:
-28 + -3Z + 12z = 4(1 + z)
-28 + -3Z + 12z = (1 * 4 + z * 4)
-28 + -3Z + 12z = (4 + 4z)

Solving
-28 + -3Z + 12z = 4 + 4z

Solving for variable 'Z'.

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

Add '28' to each side of the equation.
-28 + -3Z + 28 + 12z = 4 + 28 + 4z

Reorder the terms:
-28 + 28 + -3Z + 12z = 4 + 28 + 4z

Combine like terms: -28 + 28 = 0
0 + -3Z + 12z = 4 + 28 + 4z
-3Z + 12z = 4 + 28 + 4z

Combine like terms: 4 + 28 = 32
-3Z + 12z = 32 + 4z

Add '-12z' to each side of the equation.
-3Z + 12z + -12z = 32 + 4z + -12z

Combine like terms: 12z + -12z = 0
-3Z + 0 = 32 + 4z + -12z
-3Z = 32 + 4z + -12z

Combine like terms: 4z + -12z = -8z
-3Z = 32 + -8z

Divide each side by '-3'.
Z = -10.66666667 + 2.666666667z

Simplifying
Z = -10.66666667 + 2.666666667z