4h+9=3h+(-h+46)

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Solution for 4h+9=3h+(-h+46) equation:


Simplifying
4h + 9 = 3h + (-1h + 46)

Reorder the terms:
9 + 4h = 3h + (-1h + 46)

Reorder the terms:
9 + 4h = 3h + (46 + -1h)

Remove parenthesis around (46 + -1h)
9 + 4h = 3h + 46 + -1h

Reorder the terms:
9 + 4h = 46 + 3h + -1h

Combine like terms: 3h + -1h = 2h
9 + 4h = 46 + 2h

Solving
9 + 4h = 46 + 2h

Solving for variable 'h'.

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

Add '-2h' to each side of the equation.
9 + 4h + -2h = 46 + 2h + -2h

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

Combine like terms: 2h + -2h = 0
9 + 2h = 46 + 0
9 + 2h = 46

Add '-9' to each side of the equation.
9 + -9 + 2h = 46 + -9

Combine like terms: 9 + -9 = 0
0 + 2h = 46 + -9
2h = 46 + -9

Combine like terms: 46 + -9 = 37
2h = 37

Divide each side by '2'.
h = 18.5

Simplifying
h = 18.5

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