9z+1=10z-6

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


Simplifying
9z + 1 = 10z + -6

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

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

Solving
1 + 9z = -6 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
1 + 9z + -10z = -6 + 10z + -10z

Combine like terms: 9z + -10z = -1z
1 + -1z = -6 + 10z + -10z

Combine like terms: 10z + -10z = 0
1 + -1z = -6 + 0
1 + -1z = -6

Add '-1' to each side of the equation.
1 + -1 + -1z = -6 + -1

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

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

Divide each side by '-1'.
z = 7

Simplifying
z = 7

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