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

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


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

Reorder the terms:
11(3 + z) + -4(z + -2) = 2(z + -2) + 4(z + -1)
(3 * 11 + z * 11) + -4(z + -2) = 2(z + -2) + 4(z + -1)
(33 + 11z) + -4(z + -2) = 2(z + -2) + 4(z + -1)

Reorder the terms:
33 + 11z + -4(-2 + z) = 2(z + -2) + 4(z + -1)
33 + 11z + (-2 * -4 + z * -4) = 2(z + -2) + 4(z + -1)
33 + 11z + (8 + -4z) = 2(z + -2) + 4(z + -1)

Reorder the terms:
33 + 8 + 11z + -4z = 2(z + -2) + 4(z + -1)

Combine like terms: 33 + 8 = 41
41 + 11z + -4z = 2(z + -2) + 4(z + -1)

Combine like terms: 11z + -4z = 7z
41 + 7z = 2(z + -2) + 4(z + -1)

Reorder the terms:
41 + 7z = 2(-2 + z) + 4(z + -1)
41 + 7z = (-2 * 2 + z * 2) + 4(z + -1)
41 + 7z = (-4 + 2z) + 4(z + -1)

Reorder the terms:
41 + 7z = -4 + 2z + 4(-1 + z)
41 + 7z = -4 + 2z + (-1 * 4 + z * 4)
41 + 7z = -4 + 2z + (-4 + 4z)

Reorder the terms:
41 + 7z = -4 + -4 + 2z + 4z

Combine like terms: -4 + -4 = -8
41 + 7z = -8 + 2z + 4z

Combine like terms: 2z + 4z = 6z
41 + 7z = -8 + 6z

Solving
41 + 7z = -8 + 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.
41 + 7z + -6z = -8 + 6z + -6z

Combine like terms: 7z + -6z = 1z
41 + 1z = -8 + 6z + -6z

Combine like terms: 6z + -6z = 0
41 + 1z = -8 + 0
41 + 1z = -8

Add '-41' to each side of the equation.
41 + -41 + 1z = -8 + -41

Combine like terms: 41 + -41 = 0
0 + 1z = -8 + -41
1z = -8 + -41

Combine like terms: -8 + -41 = -49
1z = -49

Divide each side by '1'.
z = -49

Simplifying
z = -49

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