Simplify and solve this equation: 4m + 9 + 5m - 12 = 42.

Solution:

Given, the equation is:

4m + 9 + 5m - 12 = 42

We have to simplify the equation.

On rearranging,

4m + 5m - 3 = 42

By grouping,

m(4 + 5) = 42 + 3

9m = 45

m = 45/9

m = 5

Therefore, the value of m is 5.

Example:

Simplify and solve this equation: 5m + 6 + 3m + 12 = 42.

Solution:

Given, the equation is 5m + 6 + 3m + 12 = 42

We have to simplify the equation.

On rearranging,

5m + 3m + 6 + 12 = 42

By grouping,

m(5 + 3) + = 42 - 12 - 6

8m = 30 - 6

8m = 24

m = 24/8

m = 3

Therefore, the value of m is 3.

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Simplify and solve this equation: 4m + 9 + 5m - 12 = 42.

Summary:

On solving the equation 4m + 9 + 5m - 12 = 42, the value of m is 5.