0.60(z-300)+0.052=0.7z-205

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Solution for 0.60(z-300)+0.052=0.7z-205 equation: 


Simplifying
0.60(z + -300) + 0.052 = 0.7z + -205

Reorder the terms:
0.60(-300 + z) + 0.052 = 0.7z + -205
(-300 * 0.60 + z * 0.60) + 0.052 = 0.7z + -205
(-180 + 0.60z) + 0.052 = 0.7z + -205

Reorder the terms:
-180 + 0.052 + 0.60z = 0.7z + -205

Combine like terms: -180 + 0.052 = -179.948
-179.948 + 0.60z = 0.7z + -205

Reorder the terms:
-179.948 + 0.60z = -205 + 0.7z

Solving
-179.948 + 0.60z = -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.
-179.948 + 0.60z + -0.7z = -205 + 0.7z + -0.7z

Combine like terms: 0.60z + -0.7z = -0.1z
-179.948 + -0.1z = -205 + 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
-179.948 + -0.1z = -205 + 0.0
-179.948 + -0.1z = -205

Add '179.948' to each side of the equation.
-179.948 + 179.948 + -0.1z = -205 + 179.948

Combine like terms: -179.948 + 179.948 = 0.000
0.000 + -0.1z = -205 + 179.948
-0.1z = -205 + 179.948

Combine like terms: -205 + 179.948 = -25.052
-0.1z = -25.052

Divide each side by '-0.1'.
z = 250.52

Simplifying
z = 250.52

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