Simplify 9g−7h−6g + 2h

To simplify 9g - 7h - 6g + 2h, combine like terms:

9g - 6g - 7h + 2h = (9g - 6g) + (-7h + 2h) = 3g - 5h

Simplify 2a − 4b +7 + 8a + 6b − 2 .(1 point) Responses 12ab + 5 12 a b plus 5 10a + 2b +5 10 a plus 2 b plus 5 −2ab + 14ab + 5 negative 2 a b plus 14 a b plus 5 10a − 2b +5

To simplify 2a - 4b + 7 + 8a + 6b - 2, combine like terms:

2a + 8a - 4b + 6b + 7 - 2 = 10a + 2b + 5

Simplify 37x + 27x using properties of operations.(1 point) Responses 514x2 Start Fraction 5 over 14 End Fraction x squared 57x2 Start Fraction 5 over 7 End Fraction x squared 57x Start Fraction 5 over 7 End Fraction x 514x Start Fraction 5 over 14 End Fraction x

To simplify 37x + 27x, combine like terms:

37x + 27x = (37 + 27)x = 64x

Simplify 3/7x + 2/7x using properties of operations.(1 point) Responses 514x2 Start Fraction 5 over 14 End Fraction x squared 57x2 Start Fraction 5 over 7 End Fraction x squared 57x Start Fraction 5 over 7 End Fraction x 514x Start Fraction 5 over 14 End Fraction x

To simplify 3/7x + 2/7x, combine the fractions with the same denominator:

(3/7)x + (2/7)x = (3 + 2) / 7x = 5/7x

Simplify 4x + 8x using the properties of operations.(1 point) Responses 12x 12 x 4x + 8 4 x plus 8 4 + 8x 4 plus 8 x 12x2 12 x squared

To simplify 4x + 8x, combine like terms:

4x + 8x = (4 + 8)x = 12x

To simplify the expression 9g - 7h - 6g + 2h, we need to combine the like terms. Like terms are terms that have the same variable raised to the same power. In this case, we have two sets of like terms: 9g and -6g, and -7h and 2h.

Let's combine the two sets of like terms separately:

For the g terms:
9g - 6g = (9 - 6)g = 3g

For the h terms:
-7h + 2h = (-7 + 2)h = -5h

Now we have the simplified expression:

3g - 5h

Therefore, the simplified expression of 9g - 7h - 6g + 2h is 3g - 5h.