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

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


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

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

Reorder the terms:
11 + 11z + -4(-4 + z) = 3(z + -4) + 3(z + -4)
11 + 11z + (-4 * -4 + z * -4) = 3(z + -4) + 3(z + -4)
11 + 11z + (16 + -4z) = 3(z + -4) + 3(z + -4)

Reorder the terms:
11 + 16 + 11z + -4z = 3(z + -4) + 3(z + -4)

Combine like terms: 11 + 16 = 27
27 + 11z + -4z = 3(z + -4) + 3(z + -4)

Combine like terms: 11z + -4z = 7z
27 + 7z = 3(z + -4) + 3(z + -4)

Reorder the terms:
27 + 7z = 3(-4 + z) + 3(z + -4)
27 + 7z = (-4 * 3 + z * 3) + 3(z + -4)
27 + 7z = (-12 + 3z) + 3(z + -4)

Reorder the terms:
27 + 7z = -12 + 3z + 3(-4 + z)
27 + 7z = -12 + 3z + (-4 * 3 + z * 3)
27 + 7z = -12 + 3z + (-12 + 3z)

Reorder the terms:
27 + 7z = -12 + -12 + 3z + 3z

Combine like terms: -12 + -12 = -24
27 + 7z = -24 + 3z + 3z

Combine like terms: 3z + 3z = 6z
27 + 7z = -24 + 6z

Solving
27 + 7z = -24 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
27 + 7z + -6z = -24 + 6z + -6z

Combine like terms: 7z + -6z = 1z
27 + 1z = -24 + 6z + -6z

Combine like terms: 6z + -6z = 0
27 + 1z = -24 + 0
27 + 1z = -24

Add '-27' to each side of the equation.
27 + -27 + 1z = -24 + -27

Combine like terms: 27 + -27 = 0
0 + 1z = -24 + -27
1z = -24 + -27

Combine like terms: -24 + -27 = -51
1z = -51

Divide each side by '1'.
z = -51

Simplifying
z = -51

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