3h-4(1.5h-3)=1.5h-6

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Solution for 3h-4(1.5h-3)=1.5h-6 equation:


Simplifying
3h + -4(1.5h + -3) = 1.5h + -6

Reorder the terms:
3h + -4(-3 + 1.5h) = 1.5h + -6
3h + (-3 * -4 + 1.5h * -4) = 1.5h + -6
3h + (12 + -6h) = 1.5h + -6

Reorder the terms:
12 + 3h + -6h = 1.5h + -6

Combine like terms: 3h + -6h = -3h
12 + -3h = 1.5h + -6

Reorder the terms:
12 + -3h = -6 + 1.5h

Solving
12 + -3h = -6 + 1.5h

Solving for variable 'h'.

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

Add '-1.5h' to each side of the equation.
12 + -3h + -1.5h = -6 + 1.5h + -1.5h

Combine like terms: -3h + -1.5h = -4.5h
12 + -4.5h = -6 + 1.5h + -1.5h

Combine like terms: 1.5h + -1.5h = 0.0
12 + -4.5h = -6 + 0.0
12 + -4.5h = -6

Add '-12' to each side of the equation.
12 + -12 + -4.5h = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -4.5h = -6 + -12
-4.5h = -6 + -12

Combine like terms: -6 + -12 = -18
-4.5h = -18

Divide each side by '-4.5'.
h = 4

Simplifying
h = 4

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