7(a+b)-9(a+b)+3(a+b)+14(a+b)-10(a+b)=

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Solution for 7(a+b)-9(a+b)+3(a+b)+14(a+b)-10(a+b)= equation: 


Simplifying
7(a + b) + -9(a + b) + 3(a + b) + 14(a + b) + -10(a + b) = 0
(a * 7 + b * 7) + -9(a + b) + 3(a + b) + 14(a + b) + -10(a + b) = 0
(7a + 7b) + -9(a + b) + 3(a + b) + 14(a + b) + -10(a + b) = 0
7a + 7b + (a * -9 + b * -9) + 3(a + b) + 14(a + b) + -10(a + b) = 0
7a + 7b + (-9a + -9b) + 3(a + b) + 14(a + b) + -10(a + b) = 0
7a + 7b + -9a + -9b + (a * 3 + b * 3) + 14(a + b) + -10(a + b) = 0
7a + 7b + -9a + -9b + (3a + 3b) + 14(a + b) + -10(a + b) = 0
7a + 7b + -9a + -9b + 3a + 3b + (a * 14 + b * 14) + -10(a + b) = 0
7a + 7b + -9a + -9b + 3a + 3b + (14a + 14b) + -10(a + b) = 0
7a + 7b + -9a + -9b + 3a + 3b + 14a + 14b + (a * -10 + b * -10) = 0
7a + 7b + -9a + -9b + 3a + 3b + 14a + 14b + (-10a + -10b) = 0

Reorder the terms:
7a + -9a + 3a + 14a + -10a + 7b + -9b + 3b + 14b + -10b = 0

Combine like terms: 7a + -9a = -2a
-2a + 3a + 14a + -10a + 7b + -9b + 3b + 14b + -10b = 0

Combine like terms: -2a + 3a = 1a
1a + 14a + -10a + 7b + -9b + 3b + 14b + -10b = 0

Combine like terms: 1a + 14a = 15a
15a + -10a + 7b + -9b + 3b + 14b + -10b = 0

Combine like terms: 15a + -10a = 5a
5a + 7b + -9b + 3b + 14b + -10b = 0

Combine like terms: 7b + -9b = -2b
5a + -2b + 3b + 14b + -10b = 0

Combine like terms: -2b + 3b = 1b
5a + 1b + 14b + -10b = 0

Combine like terms: 1b + 14b = 15b
5a + 15b + -10b = 0

Combine like terms: 15b + -10b = 5b
5a + 5b = 0

Solving
5a + 5b = 0

Solving for variable 'a'.

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

Add '-5b' to each side of the equation.
5a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
5a + 0 = 0 + -5b
5a = 0 + -5b
Remove the zero:
5a = -5b

Divide each side by '5'.
a = -1b

Simplifying
a = -1b

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