.5555555(2h-5)=.222(4h-20)

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Solution for .5555555(2h-5)=.222(4h-20) equation:


Simplifying
0.5555555(2h + -5) = 0.222(4h + -20)

Reorder the terms:
0.5555555(-5 + 2h) = 0.222(4h + -20)
(-5 * 0.5555555 + 2h * 0.5555555) = 0.222(4h + -20)
(-2.7777775 + 1.111111h) = 0.222(4h + -20)

Reorder the terms:
-2.7777775 + 1.111111h = 0.222(-20 + 4h)
-2.7777775 + 1.111111h = (-20 * 0.222 + 4h * 0.222)
-2.7777775 + 1.111111h = (-4.44 + 0.888h)

Solving
-2.7777775 + 1.111111h = -4.44 + 0.888h

Solving for variable 'h'.

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

Add '-0.888h' to each side of the equation.
-2.7777775 + 1.111111h + -0.888h = -4.44 + 0.888h + -0.888h

Combine like terms: 1.111111h + -0.888h = 0.223111h
-2.7777775 + 0.223111h = -4.44 + 0.888h + -0.888h

Combine like terms: 0.888h + -0.888h = 0.000
-2.7777775 + 0.223111h = -4.44 + 0.000
-2.7777775 + 0.223111h = -4.44

Add '2.7777775' to each side of the equation.
-2.7777775 + 2.7777775 + 0.223111h = -4.44 + 2.7777775

Combine like terms: -2.7777775 + 2.7777775 = 0.0000000
0.0000000 + 0.223111h = -4.44 + 2.7777775
0.223111h = -4.44 + 2.7777775

Combine like terms: -4.44 + 2.7777775 = -1.6622225
0.223111h = -1.6622225

Divide each side by '0.223111'.
h = -7.450204158

Simplifying
h = -7.450204158

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