0.05h+0.4(0.8-h)=0.54+0.02h

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Solution for 0.05h+0.4(0.8-h)=0.54+0.02h equation: 


Simplifying
0.05h + 0.4(0.8 + -1h) = 0.54 + 0.02h
0.05h + (0.8 * 0.4 + -1h * 0.4) = 0.54 + 0.02h
0.05h + (0.32 + -0.4h) = 0.54 + 0.02h

Reorder the terms:
0.32 + 0.05h + -0.4h = 0.54 + 0.02h

Combine like terms: 0.05h + -0.4h = -0.35h
0.32 + -0.35h = 0.54 + 0.02h

Solving
0.32 + -0.35h = 0.54 + 0.02h

Solving for variable 'h'.

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

Add '-0.02h' to each side of the equation.
0.32 + -0.35h + -0.02h = 0.54 + 0.02h + -0.02h

Combine like terms: -0.35h + -0.02h = -0.37h
0.32 + -0.37h = 0.54 + 0.02h + -0.02h

Combine like terms: 0.02h + -0.02h = 0.00
0.32 + -0.37h = 0.54 + 0.00
0.32 + -0.37h = 0.54

Add '-0.32' to each side of the equation.
0.32 + -0.32 + -0.37h = 0.54 + -0.32

Combine like terms: 0.32 + -0.32 = 0.00
0.00 + -0.37h = 0.54 + -0.32
-0.37h = 0.54 + -0.32

Combine like terms: 0.54 + -0.32 = 0.22
-0.37h = 0.22

Divide each side by '-0.37'.
h = -0.5945945946

Simplifying
h = -0.5945945946

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