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

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


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

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

Reorder the terms:
33 + 11z + -4(-4 + z) = 4(z + -3) + 2(z + -1)
33 + 11z + (-4 * -4 + z * -4) = 4(z + -3) + 2(z + -1)
33 + 11z + (16 + -4z) = 4(z + -3) + 2(z + -1)

Reorder the terms:
33 + 16 + 11z + -4z = 4(z + -3) + 2(z + -1)

Combine like terms: 33 + 16 = 49
49 + 11z + -4z = 4(z + -3) + 2(z + -1)

Combine like terms: 11z + -4z = 7z
49 + 7z = 4(z + -3) + 2(z + -1)

Reorder the terms:
49 + 7z = 4(-3 + z) + 2(z + -1)
49 + 7z = (-3 * 4 + z * 4) + 2(z + -1)
49 + 7z = (-12 + 4z) + 2(z + -1)

Reorder the terms:
49 + 7z = -12 + 4z + 2(-1 + z)
49 + 7z = -12 + 4z + (-1 * 2 + z * 2)
49 + 7z = -12 + 4z + (-2 + 2z)

Reorder the terms:
49 + 7z = -12 + -2 + 4z + 2z

Combine like terms: -12 + -2 = -14
49 + 7z = -14 + 4z + 2z

Combine like terms: 4z + 2z = 6z
49 + 7z = -14 + 6z

Solving
49 + 7z = -14 + 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.
49 + 7z + -6z = -14 + 6z + -6z

Combine like terms: 7z + -6z = 1z
49 + 1z = -14 + 6z + -6z

Combine like terms: 6z + -6z = 0
49 + 1z = -14 + 0
49 + 1z = -14

Add '-49' to each side of the equation.
49 + -49 + 1z = -14 + -49

Combine like terms: 49 + -49 = 0
0 + 1z = -14 + -49
1z = -14 + -49

Combine like terms: -14 + -49 = -63
1z = -63

Divide each side by '1'.
z = -63

Simplifying
z = -63

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