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

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


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

Reorder the terms:
11(3 + z) + -3(z + -1) = 4(z + -1) + 3(Z + -4)
(3 * 11 + z * 11) + -3(z + -1) = 4(z + -1) + 3(Z + -4)
(33 + 11z) + -3(z + -1) = 4(z + -1) + 3(Z + -4)

Reorder the terms:
33 + 11z + -3(-1 + z) = 4(z + -1) + 3(Z + -4)
33 + 11z + (-1 * -3 + z * -3) = 4(z + -1) + 3(Z + -4)
33 + 11z + (3 + -3z) = 4(z + -1) + 3(Z + -4)

Reorder the terms:
33 + 3 + 11z + -3z = 4(z + -1) + 3(Z + -4)

Combine like terms: 33 + 3 = 36
36 + 11z + -3z = 4(z + -1) + 3(Z + -4)

Combine like terms: 11z + -3z = 8z
36 + 8z = 4(z + -1) + 3(Z + -4)

Reorder the terms:
36 + 8z = 4(-1 + z) + 3(Z + -4)
36 + 8z = (-1 * 4 + z * 4) + 3(Z + -4)
36 + 8z = (-4 + 4z) + 3(Z + -4)

Reorder the terms:
36 + 8z = -4 + 4z + 3(-4 + Z)
36 + 8z = -4 + 4z + (-4 * 3 + Z * 3)
36 + 8z = -4 + 4z + (-12 + 3Z)

Reorder the terms:
36 + 8z = -4 + -12 + 3Z + 4z

Combine like terms: -4 + -12 = -16
36 + 8z = -16 + 3Z + 4z

Solving
36 + 8z = -16 + 3Z + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
36 + 8z + -4z = -16 + 3Z + 4z + -4z

Combine like terms: 8z + -4z = 4z
36 + 4z = -16 + 3Z + 4z + -4z

Combine like terms: 4z + -4z = 0
36 + 4z = -16 + 3Z + 0
36 + 4z = -16 + 3Z

Add '-36' to each side of the equation.
36 + -36 + 4z = -16 + -36 + 3Z

Combine like terms: 36 + -36 = 0
0 + 4z = -16 + -36 + 3Z
4z = -16 + -36 + 3Z

Combine like terms: -16 + -36 = -52
4z = -52 + 3Z

Divide each side by '4'.
z = -13 + 0.75Z

Simplifying
z = -13 + 0.75Z

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