(3a+4b-c)-(7a+6b-5c)=

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Solution for (3a+4b-c)-(7a+6b-5c)= equation:


Simplifying
(3a + 4b + -1c) + -1(7a + 6b + -5c) = 0

Remove parenthesis around (3a + 4b + -1c)
3a + 4b + -1c + -1(7a + 6b + -5c) = 0
3a + 4b + -1c + (7a * -1 + 6b * -1 + -5c * -1) = 0
3a + 4b + -1c + (-7a + -6b + 5c) = 0

Reorder the terms:
3a + -7a + 4b + -6b + -1c + 5c = 0

Combine like terms: 3a + -7a = -4a
-4a + 4b + -6b + -1c + 5c = 0

Combine like terms: 4b + -6b = -2b
-4a + -2b + -1c + 5c = 0

Combine like terms: -1c + 5c = 4c
-4a + -2b + 4c = 0

Solving
-4a + -2b + 4c = 0

Solving for variable 'a'.

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

Add '2b' to each side of the equation.
-4a + -2b + 2b + 4c = 0 + 2b

Combine like terms: -2b + 2b = 0
-4a + 0 + 4c = 0 + 2b
-4a + 4c = 0 + 2b
Remove the zero:
-4a + 4c = 2b

Add '-4c' to each side of the equation.
-4a + 4c + -4c = 2b + -4c

Combine like terms: 4c + -4c = 0
-4a + 0 = 2b + -4c
-4a = 2b + -4c

Divide each side by '-4'.
a = -0.5b + c

Simplifying
a = -0.5b + c

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