0.60(z-300)+0.5z=0.70z-205

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Solution for 0.60(z-300)+0.5z=0.70z-205 equation: 


Simplifying
0.60(z + -300) + 0.5z = 0.70z + -205

Reorder the terms:
0.60(-300 + z) + 0.5z = 0.70z + -205
(-300 * 0.60 + z * 0.60) + 0.5z = 0.70z + -205
(-180 + 0.60z) + 0.5z = 0.70z + -205

Combine like terms: 0.60z + 0.5z = 1.1z
-180 + 1.1z = 0.70z + -205

Reorder the terms:
-180 + 1.1z = -205 + 0.70z

Solving
-180 + 1.1z = -205 + 0.70z

Solving for variable 'z'.

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

Add '-0.70z' to each side of the equation.
-180 + 1.1z + -0.70z = -205 + 0.70z + -0.70z

Combine like terms: 1.1z + -0.70z = 0.4z
-180 + 0.4z = -205 + 0.70z + -0.70z

Combine like terms: 0.70z + -0.70z = 0.00
-180 + 0.4z = -205 + 0.00
-180 + 0.4z = -205

Add '180' to each side of the equation.
-180 + 180 + 0.4z = -205 + 180

Combine like terms: -180 + 180 = 0
0 + 0.4z = -205 + 180
0.4z = -205 + 180

Combine like terms: -205 + 180 = -25
0.4z = -25

Divide each side by '0.4'.
z = -62.5

Simplifying
z = -62.5

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