Given 9(a + 3) + 7 = 22
⇒ 9(a + 3) + 7 – 7 = 22 – 7 (Subtract 7 on both sides)
⇒ 9(a + 3) = 15
⇒ 9a + 27 = 15 (Distributive property)
⇒ 9a + 27 – 27 = 15 – 27 (Subtract 27 on both sides)
⇒ 9a = – 12
⇒ 9a/9 = -12/9 (Divide by 9 on both sides)
⇒ a = -4/3
Check:
Substitute a = -4/3 in the given equation.
LHS = 9(a + 3) + 7
= 15 + 7 = 22 = RHS
Hence verified.
