Simplify 5a − 8c + b + 3c −9a + 6b .(1 point) m,jkn
To simplify the expression 5a - 8c + b + 3c - 9a + 6b, we can combine like terms:
(5a - 9a) + (b + 6b) + (-8c + 3c)
This simplifies to:
-4a + 7b - 5c
Simplify −3/4r + 3 − 5/6r − 6 .(1 point)
To simplify the expression -3/4r + 3 - 5/6r - 6, we can combine like terms:
(-3/4r - 5/6r) + (3 - 6)
To combine the terms with "r", we need a common denominator. The common denominator of 4 and 6 is 12, so:
(-3/4r - 5/6r) = (-9/12r - 10/12r) = -19/12r
Thus, the simplified expression becomes:
-19/12r + (3 - 6)
Simplifying further,
-19/12r - 3
Therefore, the simplified expression is -19/12r - 3.
Expand 8(3p + 2) .(1 point)
To expand the expression 8(3p + 2), we distribute the 8 to each term inside the parentheses:
8 * 3p + 8 * 2
This simplifies to:
24p + 16
Therefore, the expanded expression is 24p + 16.
Expand 7/4(8h+3)
To expand the expression 7/4(8h + 3), we distribute the 7/4 to each term inside the parentheses:
7/4 * 8h + 7/4 * 3
This simplifies to:
56/4h + 21/4
To further simplify, we can reduce the fractions:
14/1h + 21/4
Therefore, the expanded expression is 14h + 21/4.