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

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


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

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

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

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

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

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

Solving
2a + 4b = 0

Solving for variable 'a'.

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

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

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

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

Simplifying
a = -2b

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