(a*1)+(b*10)+(c*8)=100

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Solution for (a*1)+(b*10)+(c*8)=100 equation: 


Simplifying
(a * 1) + (b * 10) + (c * 8) = 100

Reorder the terms for easier multiplication:
(1a) + (b * 10) + (c * 8) = 100

Reorder the terms for easier multiplication:
(1a) + (10b) + (c * 8) = 100

Reorder the terms for easier multiplication:
(1a) + (10b) + (8c) = 100

Solving
(1a) + (10b) + (8c) = 100

Solving for variable 'a'.

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

Add '(-10b)' to each side of the equation.
(1a) + (10b) + (-10b) + (8c) = 100 + (-10b)

Combine like terms: (10b) + (-10b) = 0
(1a) + 0 + (8c) = 100 + (-10b)
(1a) + (8c) = 100 + (-10b)

Add '(-8c)' to each side of the equation.
(1a) + (8c) + (-8c) = 100 + (-10b) + (-8c)

Combine like terms: (8c) + (-8c) = 0
(1a) + 0 = 100 + (-10b) + (-8c)
(1a) = 100 + (-10b) + (-8c)

Divide each side by '1'.
a = 100 + (-10b) + (-8c)

Simplifying
a = 100 + (-10b) + (-8c)

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