12*(c+a+b)=100*c+10*a+b

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Solution for 12*(c+a+b)=100*c+10*a+b equation: 


Simplifying
12(c + a + b) = 100c + 10a + b

Reorder the terms:
12(a + b + c) = 100c + 10a + b
(a * 12 + b * 12 + c * 12) = 100c + 10a + b
(12a + 12b + 12c) = 100c + 10a + b

Reorder the terms:
12a + 12b + 12c = 10a + b + 100c

Solving
12a + 12b + 12c = 10a + b + 100c

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
12a + 12b + -10a + 12c = 10a + b + -10a + 100c

Reorder the terms:
12a + -10a + 12b + 12c = 10a + b + -10a + 100c

Combine like terms: 12a + -10a = 2a
2a + 12b + 12c = 10a + b + -10a + 100c

Reorder the terms:
2a + 12b + 12c = 10a + -10a + b + 100c

Combine like terms: 10a + -10a = 0
2a + 12b + 12c = 0 + b + 100c
2a + 12b + 12c = b + 100c

Add '-12b' to each side of the equation.
2a + 12b + -12b + 12c = b + -12b + 100c

Combine like terms: 12b + -12b = 0
2a + 0 + 12c = b + -12b + 100c
2a + 12c = b + -12b + 100c

Combine like terms: b + -12b = -11b
2a + 12c = -11b + 100c

Add '-12c' to each side of the equation.
2a + 12c + -12c = -11b + 100c + -12c

Combine like terms: 12c + -12c = 0
2a + 0 = -11b + 100c + -12c
2a = -11b + 100c + -12c

Combine like terms: 100c + -12c = 88c
2a = -11b + 88c

Divide each side by '2'.
a = -5.5b + 44c

Simplifying
a = -5.5b + 44c

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