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Simplifying

(3a + 2b + -7c) + (6b + -4a + 9c) + (-7c + -3a + -2b) = 0

Remove parenthesis around (3a + 2b + -7c)

3a + 2b + -7c + (6b + -4a + 9c) + (-7c + -3a + -2b) = 0

Reorder the terms:

3a + 2b + -7c + (-4a + 6b + 9c) + (-7c + -3a + -2b) = 0

Remove parenthesis around (-4a + 6b + 9c)

3a + 2b + -7c + -4a + 6b + 9c + (-7c + -3a + -2b) = 0

Reorder the terms:

3a + 2b + -7c + -4a + 6b + 9c + (-3a + -2b + -7c) = 0

Remove parenthesis around (-3a + -2b + -7c)

3a + 2b + -7c + -4a + 6b + 9c + -3a + -2b + -7c = 0

Reorder the terms:

3a + -4a + -3a + 2b + 6b + -2b + -7c + 9c + -7c = 0

Combine like terms: 3a + -4a = -1a

-1a + -3a + 2b + 6b + -2b + -7c + 9c + -7c = 0

Combine like terms: -1a + -3a = -4a

-4a + 2b + 6b + -2b + -7c + 9c + -7c = 0

Combine like terms: 2b + 6b = 8b

-4a + 8b + -2b + -7c + 9c + -7c = 0

Combine like terms: 8b + -2b = 6b

-4a + 6b + -7c + 9c + -7c = 0

Combine like terms: -7c + 9c = 2c

-4a + 6b + 2c + -7c = 0

Combine like terms: 2c + -7c = -5c

-4a + 6b + -5c = 0

Solving

-4a + 6b + -5c = 0

Solving for variable 'a'.

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

Add '-6b' to each side of the equation.

-4a + 6b + -6b + -5c = 0 + -6b

Combine like terms: 6b + -6b = 0

-4a + 0 + -5c = 0 + -6b

-4a + -5c = 0 + -6b

Remove the zero:

-4a + -5c = -6b

Add '5c' to each side of the equation.

-4a + -5c + 5c = -6b + 5c

Combine like terms: -5c + 5c = 0

-4a + 0 = -6b + 5c

-4a = -6b + 5c

Divide each side by '-4'.

a = 1.5b + -1.25c

Simplifying

a = 1.5b + -1.25c

Step-by-step explanation: