2.4h+1=7(2h-4)

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Solution for 2.4h+1=7(2h-4) equation:


Simplifying
2.4h + 1 = 7(2h + -4)

Reorder the terms:
1 + 2.4h = 7(2h + -4)

Reorder the terms:
1 + 2.4h = 7(-4 + 2h)
1 + 2.4h = (-4 * 7 + 2h * 7)
1 + 2.4h = (-28 + 14h)

Solving
1 + 2.4h = -28 + 14h

Solving for variable 'h'.

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

Add '-14h' to each side of the equation.
1 + 2.4h + -14h = -28 + 14h + -14h

Combine like terms: 2.4h + -14h = -11.6h
1 + -11.6h = -28 + 14h + -14h

Combine like terms: 14h + -14h = 0
1 + -11.6h = -28 + 0
1 + -11.6h = -28

Add '-1' to each side of the equation.
1 + -1 + -11.6h = -28 + -1

Combine like terms: 1 + -1 = 0
0 + -11.6h = -28 + -1
-11.6h = -28 + -1

Combine like terms: -28 + -1 = -29
-11.6h = -29

Divide each side by '-11.6'.
h = 2.5

Simplifying
h = 2.5

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