Simplify 5a − 8c + b + 3c −9a + 6b

To simplify the expression 5a - 8c + b + 3c - 9a + 6b, add like terms:

(5a - 9a) + (-8c + 3c) + (b + 6b)

= -4a - 5c + 7b

To simplify the expression 5a - 8c + b + 3c - 9a + 6b, you need to combine like terms.

Like terms are terms that have the same variable raised to the same exponent. In this expression, the like terms are those with the variable "a", those with the variable "b", and those with the variable "c".

Let's group the like terms together:

5a - 9a = (5 - 9)a = -4a
-8c + 3c = (-8 + 3)c = -5c
b + 6b = (1 + 6)b = 7b

Now we can rewrite the expression with the simplified terms:

-4a - 5c + 7b

Therefore, the simplified form of 5a - 8c + b + 3c - 9a + 6b is -4a - 5c + 7b.

To simplify 5a - 8c + b + 3c - 9a + 6b, we can combine like terms. Like terms have the same variable(s) raised to the same power(s).

First, let's combine the "a" terms: 5a - 9a = -4a.

Next, let's combine the "c" terms: -8c + 3c = -5c.

And finally, let's combine the "b" terms: b + 6b = 7b.

Putting it all together, we get the simplified expression: -4a - 5c + 7b.