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

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


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

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

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

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

Combine like terms: 11 + 2 = 13
13 + 11z + -2z = 4(z + -2) + 4(z + -3)

Combine like terms: 11z + -2z = 9z
13 + 9z = 4(z + -2) + 4(z + -3)

Reorder the terms:
13 + 9z = 4(-2 + z) + 4(z + -3)
13 + 9z = (-2 * 4 + z * 4) + 4(z + -3)
13 + 9z = (-8 + 4z) + 4(z + -3)

Reorder the terms:
13 + 9z = -8 + 4z + 4(-3 + z)
13 + 9z = -8 + 4z + (-3 * 4 + z * 4)
13 + 9z = -8 + 4z + (-12 + 4z)

Reorder the terms:
13 + 9z = -8 + -12 + 4z + 4z

Combine like terms: -8 + -12 = -20
13 + 9z = -20 + 4z + 4z

Combine like terms: 4z + 4z = 8z
13 + 9z = -20 + 8z

Solving
13 + 9z = -20 + 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.
13 + 9z + -8z = -20 + 8z + -8z

Combine like terms: 9z + -8z = 1z
13 + 1z = -20 + 8z + -8z

Combine like terms: 8z + -8z = 0
13 + 1z = -20 + 0
13 + 1z = -20

Add '-13' to each side of the equation.
13 + -13 + 1z = -20 + -13

Combine like terms: 13 + -13 = 0
0 + 1z = -20 + -13
1z = -20 + -13

Combine like terms: -20 + -13 = -33
1z = -33

Divide each side by '1'.
z = -33

Simplifying
z = -33

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