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

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


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

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

Reorder the terms:
33 + 11z + -4(-3 + z) = 3(z + -4) + 3(z + -4)
33 + 11z + (-3 * -4 + z * -4) = 3(z + -4) + 3(z + -4)
33 + 11z + (12 + -4z) = 3(z + -4) + 3(z + -4)

Reorder the terms:
33 + 12 + 11z + -4z = 3(z + -4) + 3(z + -4)

Combine like terms: 33 + 12 = 45
45 + 11z + -4z = 3(z + -4) + 3(z + -4)

Combine like terms: 11z + -4z = 7z
45 + 7z = 3(z + -4) + 3(z + -4)

Reorder the terms:
45 + 7z = 3(-4 + z) + 3(z + -4)
45 + 7z = (-4 * 3 + z * 3) + 3(z + -4)
45 + 7z = (-12 + 3z) + 3(z + -4)

Reorder the terms:
45 + 7z = -12 + 3z + 3(-4 + z)
45 + 7z = -12 + 3z + (-4 * 3 + z * 3)
45 + 7z = -12 + 3z + (-12 + 3z)

Reorder the terms:
45 + 7z = -12 + -12 + 3z + 3z

Combine like terms: -12 + -12 = -24
45 + 7z = -24 + 3z + 3z

Combine like terms: 3z + 3z = 6z
45 + 7z = -24 + 6z

Solving
45 + 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.
45 + 7z + -6z = -24 + 6z + -6z

Combine like terms: 7z + -6z = 1z
45 + 1z = -24 + 6z + -6z

Combine like terms: 6z + -6z = 0
45 + 1z = -24 + 0
45 + 1z = -24

Add '-45' to each side of the equation.
45 + -45 + 1z = -24 + -45

Combine like terms: 45 + -45 = 0
0 + 1z = -24 + -45
1z = -24 + -45

Combine like terms: -24 + -45 = -69
1z = -69

Divide each side by '1'.
z = -69

Simplifying
z = -69

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