.5h+.33(h-6)=.8h+2

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Solution for .5h+.33(h-6)=.8h+2 equation:


Simplifying
0.5h + 0.33(h + -6) = 0.8h + 2

Reorder the terms:
0.5h + 0.33(-6 + h) = 0.8h + 2
0.5h + (-6 * 0.33 + h * 0.33) = 0.8h + 2
0.5h + (-1.98 + 0.33h) = 0.8h + 2

Reorder the terms:
-1.98 + 0.5h + 0.33h = 0.8h + 2

Combine like terms: 0.5h + 0.33h = 0.83h
-1.98 + 0.83h = 0.8h + 2

Reorder the terms:
-1.98 + 0.83h = 2 + 0.8h

Solving
-1.98 + 0.83h = 2 + 0.8h

Solving for variable 'h'.

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

Add '-0.8h' to each side of the equation.
-1.98 + 0.83h + -0.8h = 2 + 0.8h + -0.8h

Combine like terms: 0.83h + -0.8h = 0.03h
-1.98 + 0.03h = 2 + 0.8h + -0.8h

Combine like terms: 0.8h + -0.8h = 0.0
-1.98 + 0.03h = 2 + 0.0
-1.98 + 0.03h = 2

Add '1.98' to each side of the equation.
-1.98 + 1.98 + 0.03h = 2 + 1.98

Combine like terms: -1.98 + 1.98 = 0.00
0.00 + 0.03h = 2 + 1.98
0.03h = 2 + 1.98

Combine like terms: 2 + 1.98 = 3.98
0.03h = 3.98

Divide each side by '0.03'.
h = 132.6666667

Simplifying
h = 132.6666667

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