3a+c=5b-7a

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Solution for 3a+c=5b-7a equation:


Simplifying
3a + c = 5b + -7a

Reorder the terms:
3a + c = -7a + 5b

Solving
3a + c = -7a + 5b

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
3a + 7a + c = -7a + 7a + 5b

Combine like terms: 3a + 7a = 10a
10a + c = -7a + 7a + 5b

Combine like terms: -7a + 7a = 0
10a + c = 0 + 5b
10a + c = 5b

Add '-1c' to each side of the equation.
10a + c + -1c = 5b + -1c

Combine like terms: c + -1c = 0
10a + 0 = 5b + -1c
10a = 5b + -1c

Divide each side by '10'.
a = 0.5b + -0.1c

Simplifying
a = 0.5b + -0.1c

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