TWO-THIRDS+ONE-FOURTHG=ONE-SIXTH

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Solution for TWO-THIRDS+ONE-FOURTHG=ONE-SIXTH equation:


Simplifying
TWO + -1THIRDS + ONE + -1FOURTHG = ONE + -1SIXTH

Reorder the terms:
-1DHIRST + ENO + -1FGHORTU + OTW = ONE + -1SIXTH

Add '-1ENO' to each side of the equation.
-1DHIRST + ENO + -1FGHORTU + -1ENO + OTW = ENO + -1ENO + -1HISTX

Reorder the terms:
-1DHIRST + ENO + -1ENO + -1FGHORTU + OTW = ENO + -1ENO + -1HISTX

Combine like terms: ENO + -1ENO = 0
-1DHIRST + 0 + -1FGHORTU + OTW = ENO + -1ENO + -1HISTX
-1DHIRST + -1FGHORTU + OTW = ENO + -1ENO + -1HISTX

Combine like terms: ENO + -1ENO = 0
-1DHIRST + -1FGHORTU + OTW = 0 + -1HISTX
-1DHIRST + -1FGHORTU + OTW = -1HISTX

Solving
-1DHIRST + -1FGHORTU + OTW = -1HISTX

Solving for variable 'D'.

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

Add 'FGHORTU' to each side of the equation.
-1DHIRST + -1FGHORTU + FGHORTU + OTW = FGHORTU + -1HISTX

Combine like terms: -1FGHORTU + FGHORTU = 0
-1DHIRST + 0 + OTW = FGHORTU + -1HISTX
-1DHIRST + OTW = FGHORTU + -1HISTX

Add '-1OTW' to each side of the equation.
-1DHIRST + OTW + -1OTW = FGHORTU + -1HISTX + -1OTW

Combine like terms: OTW + -1OTW = 0
-1DHIRST + 0 = FGHORTU + -1HISTX + -1OTW
-1DHIRST = FGHORTU + -1HISTX + -1OTW

Divide each side by '-1HIRST'.
D = -1FGI-1OS-1U + R-1X + H-1I-1OR-1S-1W

Simplifying
D = -1FGI-1OS-1U + R-1X + H-1I-1OR-1S-1W

Reorder the terms:
D = -1FGI-1OS-1U + H-1I-1OR-1S-1W + R-1X

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