Simplify 9+3(4a-7)-5a+6

A. 43a-78
B. 7a-6
C. 7a+6
D. 43a+78

1 answer

To simplify the expression \( 9 + 3(4a - 7) - 5a + 6 \), follow these steps:

  1. Distribute the \( 3 \) into the parentheses: \[ 3(4a - 7) = 12a - 21 \]

  2. Now substitute this back into the expression: \[ 9 + (12a - 21) - 5a + 6 \]

  3. Combine like terms. First, combine the constant terms: \[ 9 - 21 + 6 = -6 \]

  4. Next, combine the \( a \) terms: \[ 12a - 5a = 7a \]

  5. Now, put it all together: \[ 7a - 6 \]

Thus, the simplified expression is: \[ \boxed{7a - 6} \]

The correct answer is B. \( 7a - 6 \).

Similar Questions
  1. simplifying square roots1) find volume of this prism? v=bwh b=√12" w=√6" h=√8" 2)simplify: √576 3)simplify: √400
    1. answers icon 3 answers
  2. Simplify 8a − 2a.Simplify 12e − 5f − 7e +3f. Simplify 9x + 3y − 6 − 5x + 4y −3. Simplify 9/11z − 4/11z. Simplify
    1. answers icon 4 answers
  3. simplifying square roots1) find volume of this prism? v=bwh b=√12" w=√6" h=√8" 2)simplify: √576 3)simplify: √400
    1. answers icon 3 answers
  4. So I need some help on these Graphing Square Root Functions Quiz questions.1. Simplify 2 over √5 2. Simplify -11√112 3.
    1. answers icon 1 answer
more similar questions