$a + (a + 2d) = 14$ → $2a + 2d = 14$ → $a + d = 7$

Wed, 06 May 2026 01:36:41 +0000

Understanding the Equation $ a + (a + 2d) = 14 $: Simplifying to $ a + d = 7 $ Solving mathematical equations is a fundamental skill in algebra, and simplifying expressions plays a vital role in making complex problems easier to work with. One such example is the equation: $$
a + (a + 2d) = 14
$$ This equation appears simple at first glance, but understanding each step of its transformation reveals powerful insights into algebraic manipulation and simplification. Let’s walk through the process step-by-step and explore why simplifying it to $ a + d = 7 $ is both elegant and valuable.