.5h+.3(h-6)=.83h+2

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Solution for .5h+.3(h-6)=.83h+2 equation: 


Simplifying
0.5h + 0.3(h + -6) = 0.83h + 2

Reorder the terms:
0.5h + 0.3(-6 + h) = 0.83h + 2
0.5h + (-6 * 0.3 + h * 0.3) = 0.83h + 2
0.5h + (-1.8 + 0.3h) = 0.83h + 2

Reorder the terms:
-1.8 + 0.5h + 0.3h = 0.83h + 2

Combine like terms: 0.5h + 0.3h = 0.8h
-1.8 + 0.8h = 0.83h + 2

Reorder the terms:
-1.8 + 0.8h = 2 + 0.83h

Solving
-1.8 + 0.8h = 2 + 0.83h

Solving for variable 'h'.

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

Add '-0.83h' to each side of the equation.
-1.8 + 0.8h + -0.83h = 2 + 0.83h + -0.83h

Combine like terms: 0.8h + -0.83h = -0.03h
-1.8 + -0.03h = 2 + 0.83h + -0.83h

Combine like terms: 0.83h + -0.83h = 0.00
-1.8 + -0.03h = 2 + 0.00
-1.8 + -0.03h = 2

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -0.03h = 2 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -0.03h = 2 + 1.8
-0.03h = 2 + 1.8

Combine like terms: 2 + 1.8 = 3.8
-0.03h = 3.8

Divide each side by '-0.03'.
h = -126.6666667

Simplifying
h = -126.6666667

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