The equation is 27 + n = 46.
\(Apply subtraction property of equality: If a = b, then )
27 + n – 27 = 46 – 27 (Subtract 27 from each side)
\n = 46 – 27 (Apply additive inverse property: 27 – 27 = 0)
\n = 19 (Subtract: 46 – 27 = 19)
Check:
\To check the solution substitute n = 19 in original equation.
\27 + 19 = 46
\46 = 46 (Add: 27 + 19 = 46)
\The equality is true.
The value of n = 19.