Carrying weight is a phrase that is used to describe having a significant amount of INFLUENCE or importance. The term can be broken down into three crossword solutions: COUNT (5 letters), INFLUENCE (9 letters), and MATTER (6 letters). COUNT refers to the number of people or things that are affected by the INFLUENCE or importance of the person or thing carrying weight. INFLUENCE is the power to affect the outcome of something, while MATTER is the importance of something. Together, these three words form the phrase 'carry weight, ' which means to have a significant amount of INFLUENCE or importance.