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

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


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

Reorder the terms:
11(4 + z) + -4(z + -4) = 2(z + -2) + 4(z + -2)
(4 * 11 + z * 11) + -4(z + -4) = 2(z + -2) + 4(z + -2)
(44 + 11z) + -4(z + -4) = 2(z + -2) + 4(z + -2)

Reorder the terms:
44 + 11z + -4(-4 + z) = 2(z + -2) + 4(z + -2)
44 + 11z + (-4 * -4 + z * -4) = 2(z + -2) + 4(z + -2)
44 + 11z + (16 + -4z) = 2(z + -2) + 4(z + -2)

Reorder the terms:
44 + 16 + 11z + -4z = 2(z + -2) + 4(z + -2)

Combine like terms: 44 + 16 = 60
60 + 11z + -4z = 2(z + -2) + 4(z + -2)

Combine like terms: 11z + -4z = 7z
60 + 7z = 2(z + -2) + 4(z + -2)

Reorder the terms:
60 + 7z = 2(-2 + z) + 4(z + -2)
60 + 7z = (-2 * 2 + z * 2) + 4(z + -2)
60 + 7z = (-4 + 2z) + 4(z + -2)

Reorder the terms:
60 + 7z = -4 + 2z + 4(-2 + z)
60 + 7z = -4 + 2z + (-2 * 4 + z * 4)
60 + 7z = -4 + 2z + (-8 + 4z)

Reorder the terms:
60 + 7z = -4 + -8 + 2z + 4z

Combine like terms: -4 + -8 = -12
60 + 7z = -12 + 2z + 4z

Combine like terms: 2z + 4z = 6z
60 + 7z = -12 + 6z

Solving
60 + 7z = -12 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
60 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
60 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
60 + 1z = -12 + 0
60 + 1z = -12

Add '-60' to each side of the equation.
60 + -60 + 1z = -12 + -60

Combine like terms: 60 + -60 = 0
0 + 1z = -12 + -60
1z = -12 + -60

Combine like terms: -12 + -60 = -72
1z = -72

Divide each side by '1'.
z = -72

Simplifying
z = -72

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