3*(2a-2b+c)-2*(a-3b+c)=

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Solution for 3*(2a-2b+c)-2*(a-3b+c)= equation:


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

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

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

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

Combine like terms: 3c + -2c = 1c
4a + 1c = 0

Solving
4a + 1c = 0

Solving for variable 'a'.

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

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

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

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

Simplifying
a = -0.25c

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