The equation is – 2.5 + g = –1.3 + –1.1.
\–2.5 + g = –1.3 – 1.1 (Product of two different signs is negative)
\–2.5 + g = –2.4 (Subtract: –1.3 – 1.1 = –2.4)
\Apply addition property of equality: If a = b then a + c = b + c.
\–2.5 + 2.5 + g = –2.4 + 2.5 (Add 2.5 to each side)
\g = –2.4 + 2.5 (Apply additive inverse property: –2.5 + 2.5 = 0)
\g = 0.1 (Add: –2.4 + 2.5 = 0.1)
Check:
\To check the solution, substitute g = 0.1 in original equation.
\–2.5 + g = –2.4–2.5 + 0.1 = –2.4
– 2.4 = – 2.4 (Add: –2.5 + 0.1 = –2.4)
\The statement is true.
The value of g = 0.1.