0.6(z-300)+0.05z=0.7z-205

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Solution for 0.6(z-300)+0.05z=0.7z-205 equation: 


Simplifying
0.6(z + -300) + 0.05z = 0.7z + -205

Reorder the terms:
0.6(-300 + z) + 0.05z = 0.7z + -205
(-300 * 0.6 + z * 0.6) + 0.05z = 0.7z + -205
(-180 + 0.6z) + 0.05z = 0.7z + -205

Combine like terms: 0.6z + 0.05z = 0.65z
-180 + 0.65z = 0.7z + -205

Reorder the terms:
-180 + 0.65z = -205 + 0.7z

Solving
-180 + 0.65z = -205 + 0.7z

Solving for variable 'z'.

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

Add '-0.7z' to each side of the equation.
-180 + 0.65z + -0.7z = -205 + 0.7z + -0.7z

Combine like terms: 0.65z + -0.7z = -0.05z
-180 + -0.05z = -205 + 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
-180 + -0.05z = -205 + 0.0
-180 + -0.05z = -205

Add '180' to each side of the equation.
-180 + 180 + -0.05z = -205 + 180

Combine like terms: -180 + 180 = 0
0 + -0.05z = -205 + 180
-0.05z = -205 + 180

Combine like terms: -205 + 180 = -25
-0.05z = -25

Divide each side by '-0.05'.
z = 500

Simplifying
z = 500

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