3a+4b+2c-(a+5b+2c)=0

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Solution for 3a+4b+2c-(a+5b+2c)=0 equation:


Simplifying
3a + 4b + 2c + -1(a + 5b + 2c) = 0
3a + 4b + 2c + (a * -1 + 5b * -1 + 2c * -1) = 0
3a + 4b + 2c + (-1a + -5b + -2c) = 0

Reorder the terms:
3a + -1a + 4b + -5b + 2c + -2c = 0

Combine like terms: 3a + -1a = 2a
2a + 4b + -5b + 2c + -2c = 0

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

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

Solving
2a + -1b = 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.
2a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
2a + 0 = 0 + b
2a = 0 + b
Remove the zero:
2a = b

Divide each side by '2'.
a = 0.5b

Simplifying
a = 0.5b

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