.576=1.8h+.06(1.1-4h)

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Solution for .576=1.8h+.06(1.1-4h) equation: 


Simplifying
0.576 = 1.8h + 0.06(1.1 + -4h)
0.576 = 1.8h + (1.1 * 0.06 + -4h * 0.06)
0.576 = 1.8h + (0.066 + -0.24h)

Reorder the terms:
0.576 = 0.066 + 1.8h + -0.24h

Combine like terms: 1.8h + -0.24h = 1.56h
0.576 = 0.066 + 1.56h

Solving
0.576 = 0.066 + 1.56h

Solving for variable 'h'.

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

Add '-1.56h' to each side of the equation.
0.576 + -1.56h = 0.066 + 1.56h + -1.56h

Combine like terms: 1.56h + -1.56h = 0.00
0.576 + -1.56h = 0.066 + 0.00
0.576 + -1.56h = 0.066

Add '-0.576' to each side of the equation.
0.576 + -0.576 + -1.56h = 0.066 + -0.576

Combine like terms: 0.576 + -0.576 = 0.000
0.000 + -1.56h = 0.066 + -0.576
-1.56h = 0.066 + -0.576

Combine like terms: 0.066 + -0.576 = -0.51
-1.56h = -0.51

Divide each side by '-1.56'.
h = 0.3269230769

Simplifying
h = 0.3269230769

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