(9a-5b+10c)+(-8a+12b-10c)=

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Solution for (9a-5b+10c)+(-8a+12b-10c)= equation:


Simplifying
(9a + -5b + 10c) + (-8a + 12b + -10c) = 0

Remove parenthesis around (9a + -5b + 10c)
9a + -5b + 10c + (-8a + 12b + -10c) = 0

Remove parenthesis around (-8a + 12b + -10c)
9a + -5b + 10c + -8a + 12b + -10c = 0

Reorder the terms:
9a + -8a + -5b + 12b + 10c + -10c = 0

Combine like terms: 9a + -8a = 1a
1a + -5b + 12b + 10c + -10c = 0

Combine like terms: -5b + 12b = 7b
1a + 7b + 10c + -10c = 0

Combine like terms: 10c + -10c = 0
1a + 7b + 0 = 0
1a + 7b = 0

Solving
1a + 7b = 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.
1a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
1a + 0 = 0 + -7b
1a = 0 + -7b
Remove the zero:
1a = -7b

Divide each side by '1'.
a = -7b

Simplifying
a = -7b

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