1.7(3h-4)=3.4(2h-6)

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Solution for 1.7(3h-4)=3.4(2h-6) equation:


Simplifying
1.7(3h + -4) = 3.4(2h + -6)

Reorder the terms:
1.7(-4 + 3h) = 3.4(2h + -6)
(-4 * 1.7 + 3h * 1.7) = 3.4(2h + -6)
(-6.8 + 5.1h) = 3.4(2h + -6)

Reorder the terms:
-6.8 + 5.1h = 3.4(-6 + 2h)
-6.8 + 5.1h = (-6 * 3.4 + 2h * 3.4)
-6.8 + 5.1h = (-20.4 + 6.8h)

Solving
-6.8 + 5.1h = -20.4 + 6.8h

Solving for variable 'h'.

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

Add '-6.8h' to each side of the equation.
-6.8 + 5.1h + -6.8h = -20.4 + 6.8h + -6.8h

Combine like terms: 5.1h + -6.8h = -1.7h
-6.8 + -1.7h = -20.4 + 6.8h + -6.8h

Combine like terms: 6.8h + -6.8h = 0.0
-6.8 + -1.7h = -20.4 + 0.0
-6.8 + -1.7h = -20.4

Add '6.8' to each side of the equation.
-6.8 + 6.8 + -1.7h = -20.4 + 6.8

Combine like terms: -6.8 + 6.8 = 0.0
0.0 + -1.7h = -20.4 + 6.8
-1.7h = -20.4 + 6.8

Combine like terms: -20.4 + 6.8 = -13.6
-1.7h = -13.6

Divide each side by '-1.7'.
h = 8

Simplifying
h = 8

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