.33h-4(.66h-3)=.66h-6

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Solution for .33h-4(.66h-3)=.66h-6 equation:


Simplifying
0.33h + -4(0.66h + -3) = 0.66h + -6

Reorder the terms:
0.33h + -4(-3 + 0.66h) = 0.66h + -6
0.33h + (-3 * -4 + 0.66h * -4) = 0.66h + -6
0.33h + (12 + -2.64h) = 0.66h + -6

Reorder the terms:
12 + 0.33h + -2.64h = 0.66h + -6

Combine like terms: 0.33h + -2.64h = -2.31h
12 + -2.31h = 0.66h + -6

Reorder the terms:
12 + -2.31h = -6 + 0.66h

Solving
12 + -2.31h = -6 + 0.66h

Solving for variable 'h'.

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

Add '-0.66h' to each side of the equation.
12 + -2.31h + -0.66h = -6 + 0.66h + -0.66h

Combine like terms: -2.31h + -0.66h = -2.97h
12 + -2.97h = -6 + 0.66h + -0.66h

Combine like terms: 0.66h + -0.66h = 0.00
12 + -2.97h = -6 + 0.00
12 + -2.97h = -6

Add '-12' to each side of the equation.
12 + -12 + -2.97h = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2.97h = -6 + -12
-2.97h = -6 + -12

Combine like terms: -6 + -12 = -18
-2.97h = -18

Divide each side by '-2.97'.
h = 6.060606061

Simplifying
h = 6.060606061

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