Step-1

Title: Simplify the expression

Grade: 8-a Lesson: S1-L6

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Simplify the expression
\$ (6/7a-7/3b+6/4c) - (9/7a+6/3b-2/3c) \$

2

Step

After eleminating the brackets we get

\$ 6/7a - 7/3b + 6/4c - 9/7a - 6/3b + 2/3c \$

3

Step

Adding like terms together

\$ (6/7a-9/7a) + (-7/3b - 6/3b) + (6/4c + 2/3c) \$

4

Step

Taking variables common

\$ (6/7-9/7) a + (-7/3 - 6/3) b + (\cancel6^3/\cancel4^2 + 2/3) c \$

5

Step

Taking LCM

\$((6-9)/7)a + ((-7 - 6)/3)b + (3/2 + 2/3)c \$

6

Step

After simplification we get

\$-3/7a - 13/3b + ((9+4))/6c\$

7

Step

After simplification we get

\$ -3/7a - 13/3b + 13/6c \$

8

Answer

A


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