60(z-300)+5z=70z-205

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Solution for 60(z-300)+5z=70z-205 equation: 


Simplifying
60(z + -300) + 5z = 70z + -205

Reorder the terms:
60(-300 + z) + 5z = 70z + -205
(-300 * 60 + z * 60) + 5z = 70z + -205
(-18000 + 60z) + 5z = 70z + -205

Combine like terms: 60z + 5z = 65z
-18000 + 65z = 70z + -205

Reorder the terms:
-18000 + 65z = -205 + 70z

Solving
-18000 + 65z = -205 + 70z

Solving for variable 'z'.

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

Add '-70z' to each side of the equation.
-18000 + 65z + -70z = -205 + 70z + -70z

Combine like terms: 65z + -70z = -5z
-18000 + -5z = -205 + 70z + -70z

Combine like terms: 70z + -70z = 0
-18000 + -5z = -205 + 0
-18000 + -5z = -205

Add '18000' to each side of the equation.
-18000 + 18000 + -5z = -205 + 18000

Combine like terms: -18000 + 18000 = 0
0 + -5z = -205 + 18000
-5z = -205 + 18000

Combine like terms: -205 + 18000 = 17795
-5z = 17795

Divide each side by '-5'.
z = -3559

Simplifying
z = -3559

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