(2c+s)+4h+4(h+f+m)-3(h+s)=

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Solution for (2c+s)+4h+4(h+f+m)-3(h+s)= equation:


Simplifying
(2c + s) + 4h + 4(h + f + m) + -3(h + s) = 0

Remove parenthesis around (2c + s)
2c + s + 4h + 4(h + f + m) + -3(h + s) = 0

Reorder the terms:
2c + s + 4h + 4(f + h + m) + -3(h + s) = 0
2c + s + 4h + (f * 4 + h * 4 + m * 4) + -3(h + s) = 0
2c + s + 4h + (4f + 4h + 4m) + -3(h + s) = 0
2c + s + 4h + 4f + 4h + 4m + (h * -3 + s * -3) = 0
2c + s + 4h + 4f + 4h + 4m + (-3h + -3s) = 0

Reorder the terms:
2c + 4f + 4h + 4h + -3h + 4m + s + -3s = 0

Combine like terms: 4h + 4h = 8h
2c + 4f + 8h + -3h + 4m + s + -3s = 0

Combine like terms: 8h + -3h = 5h
2c + 4f + 5h + 4m + s + -3s = 0

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

Solving
2c + 4f + 5h + 4m + -2s = 0

Solving for variable 'c'.

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

Add '-4f' to each side of the equation.
2c + 4f + 5h + 4m + -4f + -2s = 0 + -4f

Reorder the terms:
2c + 4f + -4f + 5h + 4m + -2s = 0 + -4f

Combine like terms: 4f + -4f = 0
2c + 0 + 5h + 4m + -2s = 0 + -4f
2c + 5h + 4m + -2s = 0 + -4f
Remove the zero:
2c + 5h + 4m + -2s = -4f

Add '-5h' to each side of the equation.
2c + 5h + 4m + -5h + -2s = -4f + -5h

Reorder the terms:
2c + 5h + -5h + 4m + -2s = -4f + -5h

Combine like terms: 5h + -5h = 0
2c + 0 + 4m + -2s = -4f + -5h
2c + 4m + -2s = -4f + -5h

Add '-4m' to each side of the equation.
2c + 4m + -4m + -2s = -4f + -5h + -4m

Combine like terms: 4m + -4m = 0
2c + 0 + -2s = -4f + -5h + -4m
2c + -2s = -4f + -5h + -4m

Add '2s' to each side of the equation.
2c + -2s + 2s = -4f + -5h + -4m + 2s

Combine like terms: -2s + 2s = 0
2c + 0 = -4f + -5h + -4m + 2s
2c = -4f + -5h + -4m + 2s

Divide each side by '2'.
c = -2f + -2.5h + -2m + s

Simplifying
c = -2f + -2.5h + -2m + s

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