1a+3b+4c+4d+2e+f=100

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Solution for 1a+3b+4c+4d+2e+f=100 equation: 


Simplifying
1a + 3b + 4c + 4d + 2e + f = 100

Solving
1a + 3b + 4c + 4d + 2e + f = 100

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
1a + 3b + 4c + 4d + 2e + -3b + f = 100 + -3b

Reorder the terms:
1a + 3b + -3b + 4c + 4d + 2e + f = 100 + -3b

Combine like terms: 3b + -3b = 0
1a + 0 + 4c + 4d + 2e + f = 100 + -3b
1a + 4c + 4d + 2e + f = 100 + -3b

Add '-4c' to each side of the equation.
1a + 4c + 4d + 2e + -4c + f = 100 + -3b + -4c

Reorder the terms:
1a + 4c + -4c + 4d + 2e + f = 100 + -3b + -4c

Combine like terms: 4c + -4c = 0
1a + 0 + 4d + 2e + f = 100 + -3b + -4c
1a + 4d + 2e + f = 100 + -3b + -4c

Add '-4d' to each side of the equation.
1a + 4d + 2e + -4d + f = 100 + -3b + -4c + -4d

Reorder the terms:
1a + 4d + -4d + 2e + f = 100 + -3b + -4c + -4d

Combine like terms: 4d + -4d = 0
1a + 0 + 2e + f = 100 + -3b + -4c + -4d
1a + 2e + f = 100 + -3b + -4c + -4d

Add '-2e' to each side of the equation.
1a + 2e + -2e + f = 100 + -3b + -4c + -4d + -2e

Combine like terms: 2e + -2e = 0
1a + 0 + f = 100 + -3b + -4c + -4d + -2e
1a + f = 100 + -3b + -4c + -4d + -2e

Add '-1f' to each side of the equation.
1a + f + -1f = 100 + -3b + -4c + -4d + -2e + -1f

Combine like terms: f + -1f = 0
1a + 0 = 100 + -3b + -4c + -4d + -2e + -1f
1a = 100 + -3b + -4c + -4d + -2e + -1f

Divide each side by '1'.
a = 100 + -3b + -4c + -4d + -2e + -1f

Simplifying
a = 100 + -3b + -4c + -4d + -2e + -1f

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