The equation is m+ 3.75 = 4.15

Apply subtraction property of equality: Subtract 3.75 from each side.

m +3.753.75 =4.153.75

m+ 0 =4.153.75                    (Apply additive inverse property: 3.753.75 = 0)

m =  4.153.75                       (Apply additive identity property: m + 0 = m)

m =  7.9                                    (Subtract: 916= 25)

Check:

To check the solution, substitute m = 7.9 in original equation.

 m+3.75 = 4.15   7.9+(3.75 ) =4.15

 7.93.75 = 9              (Product of two opposite signs is negative)

9 = 9                            (Subtract :7.93.75 =9)

The statement is true.

The value of m= 7.9