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

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


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

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

Reorder the terms:
11 + 11z + -3(-3 + z) = 3(z + -4) + 4(z + -1)
11 + 11z + (-3 * -3 + z * -3) = 3(z + -4) + 4(z + -1)
11 + 11z + (9 + -3z) = 3(z + -4) + 4(z + -1)

Reorder the terms:
11 + 9 + 11z + -3z = 3(z + -4) + 4(z + -1)

Combine like terms: 11 + 9 = 20
20 + 11z + -3z = 3(z + -4) + 4(z + -1)

Combine like terms: 11z + -3z = 8z
20 + 8z = 3(z + -4) + 4(z + -1)

Reorder the terms:
20 + 8z = 3(-4 + z) + 4(z + -1)
20 + 8z = (-4 * 3 + z * 3) + 4(z + -1)
20 + 8z = (-12 + 3z) + 4(z + -1)

Reorder the terms:
20 + 8z = -12 + 3z + 4(-1 + z)
20 + 8z = -12 + 3z + (-1 * 4 + z * 4)
20 + 8z = -12 + 3z + (-4 + 4z)

Reorder the terms:
20 + 8z = -12 + -4 + 3z + 4z

Combine like terms: -12 + -4 = -16
20 + 8z = -16 + 3z + 4z

Combine like terms: 3z + 4z = 7z
20 + 8z = -16 + 7z

Solving
20 + 8z = -16 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
20 + 8z + -7z = -16 + 7z + -7z

Combine like terms: 8z + -7z = 1z
20 + 1z = -16 + 7z + -7z

Combine like terms: 7z + -7z = 0
20 + 1z = -16 + 0
20 + 1z = -16

Add '-20' to each side of the equation.
20 + -20 + 1z = -16 + -20

Combine like terms: 20 + -20 = 0
0 + 1z = -16 + -20
1z = -16 + -20

Combine like terms: -16 + -20 = -36
1z = -36

Divide each side by '1'.
z = -36

Simplifying
z = -36

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