0.3h-4(0.6h-3)=0.6h-6

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Solution for 0.3h-4(0.6h-3)=0.6h-6 equation:


Simplifying
0.3h + -4(0.6h + -3) = 0.6h + -6

Reorder the terms:
0.3h + -4(-3 + 0.6h) = 0.6h + -6
0.3h + (-3 * -4 + 0.6h * -4) = 0.6h + -6
0.3h + (12 + -2.4h) = 0.6h + -6

Reorder the terms:
12 + 0.3h + -2.4h = 0.6h + -6

Combine like terms: 0.3h + -2.4h = -2.1h
12 + -2.1h = 0.6h + -6

Reorder the terms:
12 + -2.1h = -6 + 0.6h

Solving
12 + -2.1h = -6 + 0.6h

Solving for variable 'h'.

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

Add '-0.6h' to each side of the equation.
12 + -2.1h + -0.6h = -6 + 0.6h + -0.6h

Combine like terms: -2.1h + -0.6h = -2.7h
12 + -2.7h = -6 + 0.6h + -0.6h

Combine like terms: 0.6h + -0.6h = 0.0
12 + -2.7h = -6 + 0.0
12 + -2.7h = -6

Add '-12' to each side of the equation.
12 + -12 + -2.7h = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2.7h = -6 + -12
-2.7h = -6 + -12

Combine like terms: -6 + -12 = -18
-2.7h = -18

Divide each side by '-2.7'.
h = 6.666666667

Simplifying
h = 6.666666667

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