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

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


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

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

Reorder the terms:
11 + 11z + -2(-4 + z) = 4(z + -1) + 4(z + -4)
11 + 11z + (-4 * -2 + z * -2) = 4(z + -1) + 4(z + -4)
11 + 11z + (8 + -2z) = 4(z + -1) + 4(z + -4)

Reorder the terms:
11 + 8 + 11z + -2z = 4(z + -1) + 4(z + -4)

Combine like terms: 11 + 8 = 19
19 + 11z + -2z = 4(z + -1) + 4(z + -4)

Combine like terms: 11z + -2z = 9z
19 + 9z = 4(z + -1) + 4(z + -4)

Reorder the terms:
19 + 9z = 4(-1 + z) + 4(z + -4)
19 + 9z = (-1 * 4 + z * 4) + 4(z + -4)
19 + 9z = (-4 + 4z) + 4(z + -4)

Reorder the terms:
19 + 9z = -4 + 4z + 4(-4 + z)
19 + 9z = -4 + 4z + (-4 * 4 + z * 4)
19 + 9z = -4 + 4z + (-16 + 4z)

Reorder the terms:
19 + 9z = -4 + -16 + 4z + 4z

Combine like terms: -4 + -16 = -20
19 + 9z = -20 + 4z + 4z

Combine like terms: 4z + 4z = 8z
19 + 9z = -20 + 8z

Solving
19 + 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.
19 + 9z + -8z = -20 + 8z + -8z

Combine like terms: 9z + -8z = 1z
19 + 1z = -20 + 8z + -8z

Combine like terms: 8z + -8z = 0
19 + 1z = -20 + 0
19 + 1z = -20

Add '-19' to each side of the equation.
19 + -19 + 1z = -20 + -19

Combine like terms: 19 + -19 = 0
0 + 1z = -20 + -19
1z = -20 + -19

Combine like terms: -20 + -19 = -39
1z = -39

Divide each side by '1'.
z = -39

Simplifying
z = -39

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