3h-5=16-3h+4(2h+3)

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Solution for 3h-5=16-3h+4(2h+3) equation:


Simplifying
3h + -5 = 16 + -3h + 4(2h + 3)

Reorder the terms:
-5 + 3h = 16 + -3h + 4(2h + 3)

Reorder the terms:
-5 + 3h = 16 + -3h + 4(3 + 2h)
-5 + 3h = 16 + -3h + (3 * 4 + 2h * 4)
-5 + 3h = 16 + -3h + (12 + 8h)

Reorder the terms:
-5 + 3h = 16 + 12 + -3h + 8h

Combine like terms: 16 + 12 = 28
-5 + 3h = 28 + -3h + 8h

Combine like terms: -3h + 8h = 5h
-5 + 3h = 28 + 5h

Solving
-5 + 3h = 28 + 5h

Solving for variable 'h'.

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

Add '-5h' to each side of the equation.
-5 + 3h + -5h = 28 + 5h + -5h

Combine like terms: 3h + -5h = -2h
-5 + -2h = 28 + 5h + -5h

Combine like terms: 5h + -5h = 0
-5 + -2h = 28 + 0
-5 + -2h = 28

Add '5' to each side of the equation.
-5 + 5 + -2h = 28 + 5

Combine like terms: -5 + 5 = 0
0 + -2h = 28 + 5
-2h = 28 + 5

Combine like terms: 28 + 5 = 33
-2h = 33

Divide each side by '-2'.
h = -16.5

Simplifying
h = -16.5

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