Simplify 2a − 4b +7 + 8a + 6b − 2.(1 point)
Simplify the expression:
2a − 4b + 7 + 8a + 6b − 2
Combine like terms (a's and b's separately):
(2a + 8a) + (-4b + 6b) + (7 - 2)
Simplify each set of like terms:
10a + 2b + 5.
Simplify 6/7c − 5/9d − 1/2 c + 1/3d.(1 point)
To simplify the expression, we need to combine like terms with the same variable.
To do this, we will first combine the terms with c: 6/7c - 1/2c.
When we combine the fractions, we need a common denominator, which in this case is 14.
6/7c * (2/2) - 1/2c * (7/7)
= 12/14c - 7/14c
= (12 - 7) / 14c
= 5/14c
Next, we will combine the terms with d: -5/9d + 1/3d.
To combine the fractions, we need a common denominator, which in this case is 9.
-5/9d * (1/1) + 1/3d * (3/3)
= -5/9d + 3/9d
= (-5 + 3) / 9d
= -2/9d
Therefore, the simplified expression is:
5/14c - 2/9d
To simplify the expression 2a - 4b + 7 + 8a + 6b - 2, we can combine like terms.
First, let's combine the terms with 'a'. We have 2a + 8a, which simplifies to 10a.
Next, let's combine the terms with 'b'. We have -4b + 6b, which simplifies to 2b.
Finally, let's combine the constant terms. We have 7 - 2, which simplifies to 5.
Putting it all together, the simplified expression is:
10a + 2b + 5.
To simplify the expression 2a − 4b + 7 + 8a + 6b − 2, we can combine like terms. Like terms are terms that have the same variables raised to the same powers.
First, let's combine the like terms with the variable a. We have 2a and 8a, which together give us 10a.
Next, let's combine the like terms with the variable b. We have -4b and 6b, which together give us 2b.
Finally, let's combine the constant terms. We have 7 and -2, which give us 5.
Putting it all together, the simplified expression is:
10a + 2b + 5.