85(z-65)=z+10

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Solution for 85(z-65)=z+10 equation:


Simplifying
85(z + -65) = z + 10

Reorder the terms:
85(-65 + z) = z + 10
(-65 * 85 + z * 85) = z + 10
(-5525 + 85z) = z + 10

Reorder the terms:
-5525 + 85z = 10 + z

Solving
-5525 + 85z = 10 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-5525 + 85z + -1z = 10 + z + -1z

Combine like terms: 85z + -1z = 84z
-5525 + 84z = 10 + z + -1z

Combine like terms: z + -1z = 0
-5525 + 84z = 10 + 0
-5525 + 84z = 10

Add '5525' to each side of the equation.
-5525 + 5525 + 84z = 10 + 5525

Combine like terms: -5525 + 5525 = 0
0 + 84z = 10 + 5525
84z = 10 + 5525

Combine like terms: 10 + 5525 = 5535
84z = 5535

Divide each side by '84'.
z = 65.89285714

Simplifying
z = 65.89285714

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