(2a+3b-6c)+(2a-4b+13c)=

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Solution for (2a+3b-6c)+(2a-4b+13c)= equation:


Simplifying
(2a + 3b + -6c) + (2a + -4b + 13c) = 0

Remove parenthesis around (2a + 3b + -6c)
2a + 3b + -6c + (2a + -4b + 13c) = 0

Remove parenthesis around (2a + -4b + 13c)
2a + 3b + -6c + 2a + -4b + 13c = 0

Reorder the terms:
2a + 2a + 3b + -4b + -6c + 13c = 0

Combine like terms: 2a + 2a = 4a
4a + 3b + -4b + -6c + 13c = 0

Combine like terms: 3b + -4b = -1b
4a + -1b + -6c + 13c = 0

Combine like terms: -6c + 13c = 7c
4a + -1b + 7c = 0

Solving
4a + -1b + 7c = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
4a + -1b + b + 7c = 0 + b

Combine like terms: -1b + b = 0
4a + 0 + 7c = 0 + b
4a + 7c = 0 + b
Remove the zero:
4a + 7c = b

Add '-7c' to each side of the equation.
4a + 7c + -7c = b + -7c

Combine like terms: 7c + -7c = 0
4a + 0 = b + -7c
4a = b + -7c

Divide each side by '4'.
a = 0.25b + -1.75c

Simplifying
a = 0.25b + -1.75c

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