5h+6m+3l+f+(2m+c)-h=

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Solution for 5h+6m+3l+f+(2m+c)-h= equation:


Simplifying
5h + 6m + 3l + f + (2m + c) + -1h = 0

Reorder the terms:
5h + 6m + 3l + f + (c + 2m) + -1h = 0

Remove parenthesis around (c + 2m)
5h + 6m + 3l + f + c + 2m + -1h = 0

Reorder the terms:
c + f + 5h + -1h + 3l + 6m + 2m = 0

Combine like terms: 5h + -1h = 4h
c + f + 4h + 3l + 6m + 2m = 0

Combine like terms: 6m + 2m = 8m
c + f + 4h + 3l + 8m = 0

Solving
c + f + 4h + 3l + 8m = 0

Solving for variable 'c'.

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

Add '-1f' to each side of the equation.
c + f + 4h + 3l + -1f + 8m = 0 + -1f

Reorder the terms:
c + f + -1f + 4h + 3l + 8m = 0 + -1f

Combine like terms: f + -1f = 0
c + 0 + 4h + 3l + 8m = 0 + -1f
c + 4h + 3l + 8m = 0 + -1f
Remove the zero:
c + 4h + 3l + 8m = -1f

Add '-4h' to each side of the equation.
c + 4h + 3l + -4h + 8m = -1f + -4h

Reorder the terms:
c + 4h + -4h + 3l + 8m = -1f + -4h

Combine like terms: 4h + -4h = 0
c + 0 + 3l + 8m = -1f + -4h
c + 3l + 8m = -1f + -4h

Add '-3l' to each side of the equation.
c + 3l + -3l + 8m = -1f + -4h + -3l

Combine like terms: 3l + -3l = 0
c + 0 + 8m = -1f + -4h + -3l
c + 8m = -1f + -4h + -3l

Add '-8m' to each side of the equation.
c + 8m + -8m = -1f + -4h + -3l + -8m

Combine like terms: 8m + -8m = 0
c + 0 = -1f + -4h + -3l + -8m
c = -1f + -4h + -3l + -8m

Simplifying
c = -1f + -4h + -3l + -8m

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