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

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

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

Combine like terms: 2 + 4 = 6
11(6) + -2(z + -4) = 4(z + -3) + 4(z + -2)

Multiply 11 * 6
66 + -2(z + -4) = 4(z + -3) + 4(z + -2)

Reorder the terms:
66 + -2(-4 + z) = 4(z + -3) + 4(z + -2)
66 + (-4 * -2 + z * -2) = 4(z + -3) + 4(z + -2)
66 + (8 + -2z) = 4(z + -3) + 4(z + -2)

Combine like terms: 66 + 8 = 74
74 + -2z = 4(z + -3) + 4(z + -2)

Reorder the terms:
74 + -2z = 4(-3 + z) + 4(z + -2)
74 + -2z = (-3 * 4 + z * 4) + 4(z + -2)
74 + -2z = (-12 + 4z) + 4(z + -2)

Reorder the terms:
74 + -2z = -12 + 4z + 4(-2 + z)
74 + -2z = -12 + 4z + (-2 * 4 + z * 4)
74 + -2z = -12 + 4z + (-8 + 4z)

Reorder the terms:
74 + -2z = -12 + -8 + 4z + 4z

Combine like terms: -12 + -8 = -20
74 + -2z = -20 + 4z + 4z

Combine like terms: 4z + 4z = 8z
74 + -2z = -20 + 8z

Solving
74 + -2z = -20 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
74 + -2z + -8z = -20 + 8z + -8z

Combine like terms: -2z + -8z = -10z
74 + -10z = -20 + 8z + -8z

Combine like terms: 8z + -8z = 0
74 + -10z = -20 + 0
74 + -10z = -20

Add '-74' to each side of the equation.
74 + -74 + -10z = -20 + -74

Combine like terms: 74 + -74 = 0
0 + -10z = -20 + -74
-10z = -20 + -74

Combine like terms: -20 + -74 = -94
-10z = -94

Divide each side by '-10'.
z = 9.4

Simplifying
z = 9.4