11(z+4)-2(z-1)=4(z-1)+4(z-3)

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Solution for 11(z+4)-2(z-1)=4(z-1)+4(z-3) equation: 


Simplifying
11(z + 4) + -2(z + -1) = 4(z + -1) + 4(z + -3)

Reorder the terms:
11(4 + z) + -2(z + -1) = 4(z + -1) + 4(z + -3)
(4 * 11 + z * 11) + -2(z + -1) = 4(z + -1) + 4(z + -3)
(44 + 11z) + -2(z + -1) = 4(z + -1) + 4(z + -3)

Reorder the terms:
44 + 11z + -2(-1 + z) = 4(z + -1) + 4(z + -3)
44 + 11z + (-1 * -2 + z * -2) = 4(z + -1) + 4(z + -3)
44 + 11z + (2 + -2z) = 4(z + -1) + 4(z + -3)

Reorder the terms:
44 + 2 + 11z + -2z = 4(z + -1) + 4(z + -3)

Combine like terms: 44 + 2 = 46
46 + 11z + -2z = 4(z + -1) + 4(z + -3)

Combine like terms: 11z + -2z = 9z
46 + 9z = 4(z + -1) + 4(z + -3)

Reorder the terms:
46 + 9z = 4(-1 + z) + 4(z + -3)
46 + 9z = (-1 * 4 + z * 4) + 4(z + -3)
46 + 9z = (-4 + 4z) + 4(z + -3)

Reorder the terms:
46 + 9z = -4 + 4z + 4(-3 + z)
46 + 9z = -4 + 4z + (-3 * 4 + z * 4)
46 + 9z = -4 + 4z + (-12 + 4z)

Reorder the terms:
46 + 9z = -4 + -12 + 4z + 4z

Combine like terms: -4 + -12 = -16
46 + 9z = -16 + 4z + 4z

Combine like terms: 4z + 4z = 8z
46 + 9z = -16 + 8z

Solving
46 + 9z = -16 + 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.
46 + 9z + -8z = -16 + 8z + -8z

Combine like terms: 9z + -8z = 1z
46 + 1z = -16 + 8z + -8z

Combine like terms: 8z + -8z = 0
46 + 1z = -16 + 0
46 + 1z = -16

Add '-46' to each side of the equation.
46 + -46 + 1z = -16 + -46

Combine like terms: 46 + -46 = 0
0 + 1z = -16 + -46
1z = -16 + -46

Combine like terms: -16 + -46 = -62
1z = -62

Divide each side by '1'.
z = -62

Simplifying
z = -62

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