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: 4.153.75 = 7.9)

Check:

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

m + 3.75 = 4.157.9 + 3.75 = 4.15

4.15 = 4.15              (Add: 7.9 + 3.75 = 4.15)

The statement is true.

The value of m = 7.9.