Step-5

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
\$ (2/3a+3b+7/8c) - (5/3a-8b-5/8c) \$

2

Step

After eleminating the brackets we get

\$ 2/3a + 3b + 7/8c - 5/3a + 8b + 5/8c \$

3

Step

Adding like terms together

\$ (2/3a - 5/3a) + (3b + 8b) + (7/8c + 5/8c) \$

4

Step

Taking variables common

\$ (2/3 - 5/3) a + (3 + 8) b + (7/8 + 5/8) c \$

5

Step

Taking LCM as 3,8

\$ ((2 - 5)/3a) + 11b + ((7 + 5)/8c) \$

6

Step

After cancellation we get

\$ -\cancel3/\cancel(3)a + 11b + \cancel(12)^3/\cancel(8)^2c \$

7

Step

After simplification we get

\$ -a + 11b + 3/2c \$

8

Answer

C


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