6z+10=8z-9

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


Simplifying
6z + 10 = 8z + -9

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

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

Solving
10 + 6z = -9 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
10 + 6z + -8z = -9 + 8z + -8z

Combine like terms: 6z + -8z = -2z
10 + -2z = -9 + 8z + -8z

Combine like terms: 8z + -8z = 0
10 + -2z = -9 + 0
10 + -2z = -9

Add '-10' to each side of the equation.
10 + -10 + -2z = -9 + -10

Combine like terms: 10 + -10 = 0
0 + -2z = -9 + -10
-2z = -9 + -10

Combine like terms: -9 + -10 = -19
-2z = -19

Divide each side by '-2'.
z = 9.5

Simplifying
z = 9.5

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