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

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


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

Reorder the terms:
11(4 + z) + -4(z + -3) = 4(z + -4) + 2(z + -2)
(4 * 11 + z * 11) + -4(z + -3) = 4(z + -4) + 2(z + -2)
(44 + 11z) + -4(z + -3) = 4(z + -4) + 2(z + -2)

Reorder the terms:
44 + 11z + -4(-3 + z) = 4(z + -4) + 2(z + -2)
44 + 11z + (-3 * -4 + z * -4) = 4(z + -4) + 2(z + -2)
44 + 11z + (12 + -4z) = 4(z + -4) + 2(z + -2)

Reorder the terms:
44 + 12 + 11z + -4z = 4(z + -4) + 2(z + -2)

Combine like terms: 44 + 12 = 56
56 + 11z + -4z = 4(z + -4) + 2(z + -2)

Combine like terms: 11z + -4z = 7z
56 + 7z = 4(z + -4) + 2(z + -2)

Reorder the terms:
56 + 7z = 4(-4 + z) + 2(z + -2)
56 + 7z = (-4 * 4 + z * 4) + 2(z + -2)
56 + 7z = (-16 + 4z) + 2(z + -2)

Reorder the terms:
56 + 7z = -16 + 4z + 2(-2 + z)
56 + 7z = -16 + 4z + (-2 * 2 + z * 2)
56 + 7z = -16 + 4z + (-4 + 2z)

Reorder the terms:
56 + 7z = -16 + -4 + 4z + 2z

Combine like terms: -16 + -4 = -20
56 + 7z = -20 + 4z + 2z

Combine like terms: 4z + 2z = 6z
56 + 7z = -20 + 6z

Solving
56 + 7z = -20 + 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.
56 + 7z + -6z = -20 + 6z + -6z

Combine like terms: 7z + -6z = 1z
56 + 1z = -20 + 6z + -6z

Combine like terms: 6z + -6z = 0
56 + 1z = -20 + 0
56 + 1z = -20

Add '-56' to each side of the equation.
56 + -56 + 1z = -20 + -56

Combine like terms: 56 + -56 = 0
0 + 1z = -20 + -56
1z = -20 + -56

Combine like terms: -20 + -56 = -76
1z = -76

Divide each side by '1'.
z = -76

Simplifying
z = -76

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