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

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


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

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

Combine like terms: 5a + 2a = 7a
7a + -4a + 5b + 2b + -4c = 0

Combine like terms: 7a + -4a = 3a
3a + 5b + 2b + -4c = 0

Combine like terms: 5b + 2b = 7b
3a + 7b + -4c = 0

Solving
3a + 7b + -4c = 0

Solving for variable 'a'.

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

Add '-7b' to each side of the equation.
3a + 7b + -7b + -4c = 0 + -7b

Combine like terms: 7b + -7b = 0
3a + 0 + -4c = 0 + -7b
3a + -4c = 0 + -7b
Remove the zero:
3a + -4c = -7b

Add '4c' to each side of the equation.
3a + -4c + 4c = -7b + 4c

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

Divide each side by '3'.
a = -2.333333333b + 1.333333333c

Simplifying
a = -2.333333333b + 1.333333333c

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