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

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


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

Reorder the terms:
11(2 + z) + -4(z + -3) = 2(z + -1) + 4(z + -2)
(2 * 11 + z * 11) + -4(z + -3) = 2(z + -1) + 4(z + -2)
(22 + 11z) + -4(z + -3) = 2(z + -1) + 4(z + -2)

Reorder the terms:
22 + 11z + -4(-3 + z) = 2(z + -1) + 4(z + -2)
22 + 11z + (-3 * -4 + z * -4) = 2(z + -1) + 4(z + -2)
22 + 11z + (12 + -4z) = 2(z + -1) + 4(z + -2)

Reorder the terms:
22 + 12 + 11z + -4z = 2(z + -1) + 4(z + -2)

Combine like terms: 22 + 12 = 34
34 + 11z + -4z = 2(z + -1) + 4(z + -2)

Combine like terms: 11z + -4z = 7z
34 + 7z = 2(z + -1) + 4(z + -2)

Reorder the terms:
34 + 7z = 2(-1 + z) + 4(z + -2)
34 + 7z = (-1 * 2 + z * 2) + 4(z + -2)
34 + 7z = (-2 + 2z) + 4(z + -2)

Reorder the terms:
34 + 7z = -2 + 2z + 4(-2 + z)
34 + 7z = -2 + 2z + (-2 * 4 + z * 4)
34 + 7z = -2 + 2z + (-8 + 4z)

Reorder the terms:
34 + 7z = -2 + -8 + 2z + 4z

Combine like terms: -2 + -8 = -10
34 + 7z = -10 + 2z + 4z

Combine like terms: 2z + 4z = 6z
34 + 7z = -10 + 6z

Solving
34 + 7z = -10 + 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.
34 + 7z + -6z = -10 + 6z + -6z

Combine like terms: 7z + -6z = 1z
34 + 1z = -10 + 6z + -6z

Combine like terms: 6z + -6z = 0
34 + 1z = -10 + 0
34 + 1z = -10

Add '-34' to each side of the equation.
34 + -34 + 1z = -10 + -34

Combine like terms: 34 + -34 = 0
0 + 1z = -10 + -34
1z = -10 + -34

Combine like terms: -10 + -34 = -44
1z = -44

Divide each side by '1'.
z = -44

Simplifying
z = -44

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