11(z+2)-4(z-4)=4(z-1)+2(z-4)

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Solution for 11(z+2)-4(z-4)=4(z-1)+2(z-4) equation: 


Simplifying
11(z + 2) + -4(z + -4) = 4(z + -1) + 2(z + -4)

Reorder the terms:
11(2 + z) + -4(z + -4) = 4(z + -1) + 2(z + -4)
(2 * 11 + z * 11) + -4(z + -4) = 4(z + -1) + 2(z + -4)
(22 + 11z) + -4(z + -4) = 4(z + -1) + 2(z + -4)

Reorder the terms:
22 + 11z + -4(-4 + z) = 4(z + -1) + 2(z + -4)
22 + 11z + (-4 * -4 + z * -4) = 4(z + -1) + 2(z + -4)
22 + 11z + (16 + -4z) = 4(z + -1) + 2(z + -4)

Reorder the terms:
22 + 16 + 11z + -4z = 4(z + -1) + 2(z + -4)

Combine like terms: 22 + 16 = 38
38 + 11z + -4z = 4(z + -1) + 2(z + -4)

Combine like terms: 11z + -4z = 7z
38 + 7z = 4(z + -1) + 2(z + -4)

Reorder the terms:
38 + 7z = 4(-1 + z) + 2(z + -4)
38 + 7z = (-1 * 4 + z * 4) + 2(z + -4)
38 + 7z = (-4 + 4z) + 2(z + -4)

Reorder the terms:
38 + 7z = -4 + 4z + 2(-4 + z)
38 + 7z = -4 + 4z + (-4 * 2 + z * 2)
38 + 7z = -4 + 4z + (-8 + 2z)

Reorder the terms:
38 + 7z = -4 + -8 + 4z + 2z

Combine like terms: -4 + -8 = -12
38 + 7z = -12 + 4z + 2z

Combine like terms: 4z + 2z = 6z
38 + 7z = -12 + 6z

Solving
38 + 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.
38 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
38 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
38 + 1z = -12 + 0
38 + 1z = -12

Add '-38' to each side of the equation.
38 + -38 + 1z = -12 + -38

Combine like terms: 38 + -38 = 0
0 + 1z = -12 + -38
1z = -12 + -38

Combine like terms: -12 + -38 = -50
1z = -50

Divide each side by '1'.
z = -50

Simplifying
z = -50

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