6+9z-10+6z=8z+3+5z-1

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Solution for 6+9z-10+6z=8z+3+5z-1 equation: 


Simplifying
6 + 9z + -10 + 6z = 8z + 3 + 5z + -1

Reorder the terms:
6 + -10 + 9z + 6z = 8z + 3 + 5z + -1

Combine like terms: 6 + -10 = -4
-4 + 9z + 6z = 8z + 3 + 5z + -1

Combine like terms: 9z + 6z = 15z
-4 + 15z = 8z + 3 + 5z + -1

Reorder the terms:
-4 + 15z = 3 + -1 + 8z + 5z

Combine like terms: 3 + -1 = 2
-4 + 15z = 2 + 8z + 5z

Combine like terms: 8z + 5z = 13z
-4 + 15z = 2 + 13z

Solving
-4 + 15z = 2 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
-4 + 15z + -13z = 2 + 13z + -13z

Combine like terms: 15z + -13z = 2z
-4 + 2z = 2 + 13z + -13z

Combine like terms: 13z + -13z = 0
-4 + 2z = 2 + 0
-4 + 2z = 2

Add '4' to each side of the equation.
-4 + 4 + 2z = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 2z = 2 + 4
2z = 2 + 4

Combine like terms: 2 + 4 = 6
2z = 6

Divide each side by '2'.
z = 3

Simplifying
z = 3

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