10z+40-4z-8=3z-3+2z-6

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Solution for 10z+40-4z-8=3z-3+2z-6 equation: 


Simplifying
10z + 40 + -4z + -8 = 3z + -3 + 2z + -6

Reorder the terms:
40 + -8 + 10z + -4z = 3z + -3 + 2z + -6

Combine like terms: 40 + -8 = 32
32 + 10z + -4z = 3z + -3 + 2z + -6

Combine like terms: 10z + -4z = 6z
32 + 6z = 3z + -3 + 2z + -6

Reorder the terms:
32 + 6z = -3 + -6 + 3z + 2z

Combine like terms: -3 + -6 = -9
32 + 6z = -9 + 3z + 2z

Combine like terms: 3z + 2z = 5z
32 + 6z = -9 + 5z

Solving
32 + 6z = -9 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
32 + 6z + -5z = -9 + 5z + -5z

Combine like terms: 6z + -5z = 1z
32 + 1z = -9 + 5z + -5z

Combine like terms: 5z + -5z = 0
32 + 1z = -9 + 0
32 + 1z = -9

Add '-32' to each side of the equation.
32 + -32 + 1z = -9 + -32

Combine like terms: 32 + -32 = 0
0 + 1z = -9 + -32
1z = -9 + -32

Combine like terms: -9 + -32 = -41
1z = -41

Divide each side by '1'.
z = -41

Simplifying
z = -41

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