11(z+3)-3(z-4)=3(z-2)+4(z-4)

Solution for 11(z+3)-3(z-4)=3(z-2)+4(z-4) equation:

Simplifying
11(z + 3) + -3(z + -4) = 3(z + -2) + 4(z + -4)

Reorder the terms:
11(3 + z) + -3(z + -4) = 3(z + -2) + 4(z + -4)
(3 * 11 + z * 11) + -3(z + -4) = 3(z + -2) + 4(z + -4)
(33 + 11z) + -3(z + -4) = 3(z + -2) + 4(z + -4)

Reorder the terms:
33 + 11z + -3(-4 + z) = 3(z + -2) + 4(z + -4)
33 + 11z + (-4 * -3 + z * -3) = 3(z + -2) + 4(z + -4)
33 + 11z + (12 + -3z) = 3(z + -2) + 4(z + -4)

Reorder the terms:
33 + 12 + 11z + -3z = 3(z + -2) + 4(z + -4)

Combine like terms: 33 + 12 = 45
45 + 11z + -3z = 3(z + -2) + 4(z + -4)

Combine like terms: 11z + -3z = 8z
45 + 8z = 3(z + -2) + 4(z + -4)

Reorder the terms:
45 + 8z = 3(-2 + z) + 4(z + -4)
45 + 8z = (-2 * 3 + z * 3) + 4(z + -4)
45 + 8z = (-6 + 3z) + 4(z + -4)

Reorder the terms:
45 + 8z = -6 + 3z + 4(-4 + z)
45 + 8z = -6 + 3z + (-4 * 4 + z * 4)
45 + 8z = -6 + 3z + (-16 + 4z)

Reorder the terms:
45 + 8z = -6 + -16 + 3z + 4z

Combine like terms: -6 + -16 = -22
45 + 8z = -22 + 3z + 4z

Combine like terms: 3z + 4z = 7z
45 + 8z = -22 + 7z

Solving
45 + 8z = -22 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
45 + 8z + -7z = -22 + 7z + -7z

Combine like terms: 8z + -7z = 1z
45 + 1z = -22 + 7z + -7z

Combine like terms: 7z + -7z = 0
45 + 1z = -22 + 0
45 + 1z = -22

Add '-45' to each side of the equation.
45 + -45 + 1z = -22 + -45

Combine like terms: 45 + -45 = 0
0 + 1z = -22 + -45
1z = -22 + -45

Combine like terms: -22 + -45 = -67
1z = -67

Divide each side by '1'.
z = -67

Simplifying
z = -67