4h+9=2+(-h+46)

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Solution for 4h+9=2+(-h+46) equation:


Simplifying
4h + 9 = 2 + (-1h + 46)

Reorder the terms:
9 + 4h = 2 + (-1h + 46)

Reorder the terms:
9 + 4h = 2 + (46 + -1h)

Remove parenthesis around (46 + -1h)
9 + 4h = 2 + 46 + -1h

Combine like terms: 2 + 46 = 48
9 + 4h = 48 + -1h

Solving
9 + 4h = 48 + -1h

Solving for variable 'h'.

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

Add 'h' to each side of the equation.
9 + 4h + h = 48 + -1h + h

Combine like terms: 4h + h = 5h
9 + 5h = 48 + -1h + h

Combine like terms: -1h + h = 0
9 + 5h = 48 + 0
9 + 5h = 48

Add '-9' to each side of the equation.
9 + -9 + 5h = 48 + -9

Combine like terms: 9 + -9 = 0
0 + 5h = 48 + -9
5h = 48 + -9

Combine like terms: 48 + -9 = 39
5h = 39

Divide each side by '5'.
h = 7.8

Simplifying
h = 7.8

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