5z+1=6z-8

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


Simplifying
5z + 1 = 6z + -8

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

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

Solving
1 + 5z = -8 + 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.
1 + 5z + -6z = -8 + 6z + -6z

Combine like terms: 5z + -6z = -1z
1 + -1z = -8 + 6z + -6z

Combine like terms: 6z + -6z = 0
1 + -1z = -8 + 0
1 + -1z = -8

Add '-1' to each side of the equation.
1 + -1 + -1z = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -1z = -8 + -1
-1z = -8 + -1

Combine like terms: -8 + -1 = -9
-1z = -9

Divide each side by '-1'.
z = 9

Simplifying
z = 9

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