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

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


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

Reorder the terms:
11(4 + z) + -4(z + -1) = 4(z + -1) + 2(z + -2)
(4 * 11 + z * 11) + -4(z + -1) = 4(z + -1) + 2(z + -2)
(44 + 11z) + -4(z + -1) = 4(z + -1) + 2(z + -2)

Reorder the terms:
44 + 11z + -4(-1 + z) = 4(z + -1) + 2(z + -2)
44 + 11z + (-1 * -4 + z * -4) = 4(z + -1) + 2(z + -2)
44 + 11z + (4 + -4z) = 4(z + -1) + 2(z + -2)

Reorder the terms:
44 + 4 + 11z + -4z = 4(z + -1) + 2(z + -2)

Combine like terms: 44 + 4 = 48
48 + 11z + -4z = 4(z + -1) + 2(z + -2)

Combine like terms: 11z + -4z = 7z
48 + 7z = 4(z + -1) + 2(z + -2)

Reorder the terms:
48 + 7z = 4(-1 + z) + 2(z + -2)
48 + 7z = (-1 * 4 + z * 4) + 2(z + -2)
48 + 7z = (-4 + 4z) + 2(z + -2)

Reorder the terms:
48 + 7z = -4 + 4z + 2(-2 + z)
48 + 7z = -4 + 4z + (-2 * 2 + z * 2)
48 + 7z = -4 + 4z + (-4 + 2z)

Reorder the terms:
48 + 7z = -4 + -4 + 4z + 2z

Combine like terms: -4 + -4 = -8
48 + 7z = -8 + 4z + 2z

Combine like terms: 4z + 2z = 6z
48 + 7z = -8 + 6z

Solving
48 + 7z = -8 + 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.
48 + 7z + -6z = -8 + 6z + -6z

Combine like terms: 7z + -6z = 1z
48 + 1z = -8 + 6z + -6z

Combine like terms: 6z + -6z = 0
48 + 1z = -8 + 0
48 + 1z = -8

Add '-48' to each side of the equation.
48 + -48 + 1z = -8 + -48

Combine like terms: 48 + -48 = 0
0 + 1z = -8 + -48
1z = -8 + -48

Combine like terms: -8 + -48 = -56
1z = -56

Divide each side by '1'.
z = -56

Simplifying
z = -56

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