2f+g+4h+2g-f=0

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Solution for 2f+g+4h+2g-f=0 equation:


Simplifying
2f + g + 4h + 2g + -1f = 0

Reorder the terms:
2f + -1f + g + 2g + 4h = 0

Combine like terms: 2f + -1f = 1f
1f + g + 2g + 4h = 0

Combine like terms: g + 2g = 3g
1f + 3g + 4h = 0

Solving
1f + 3g + 4h = 0

Solving for variable 'f'.

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

Add '-3g' to each side of the equation.
1f + 3g + -3g + 4h = 0 + -3g

Combine like terms: 3g + -3g = 0
1f + 0 + 4h = 0 + -3g
1f + 4h = 0 + -3g
Remove the zero:
1f + 4h = -3g

Add '-4h' to each side of the equation.
1f + 4h + -4h = -3g + -4h

Combine like terms: 4h + -4h = 0
1f + 0 = -3g + -4h
1f = -3g + -4h

Divide each side by '1'.
f = -3g + -4h

Simplifying
f = -3g + -4h

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