(i) \( 5+5(4) \) 1) \( 12 h-(16) \) (8) \( 5(-7 m-6) \) Whate 3) \( (h+i 1) \) motuditie thentiofes. 10. bbe o(t) actertent 14) \( 418+(a+6) \) 12) \( 8(k \cdot 3)+4 k \) 13) \( 7 c+5 a+2+2 a+10 c-8 \) 14) \( 5 p+5 m-6-5 p+10 m-10 \) 15) Inter the value of a to the exprestion \( (5 y+8)+(6 y-9) \) is equivalent to \( (m y-1) \) 16) Enter the value of \( p \) so that the expression \( 5(3 * n) \) is equivalent to \( 5(n * p) \)

Alright! Let's dive into the fun world of algebraic expressions and equations. First off, did you know that algebra has roots tracing back to ancient civilizations such as the Babylonians? They used geometric methods to solve quadratic equations, and the term "algebra" actually comes from the Arabic word "al-jabr," which means "the reunion of broken parts." So the next time you solve a puzzle in your math book, remember that it's a legacy of ancient brainiacs! Now, here's a real-world application: Algebra is not just about numbers and letters on a page. It's used in a variety of fields, including engineering, economics, biology, and even video game design! For instance, game developers often use algebraic equations to figure out character movements or to balance gameplay mechanics. So, whether you're building a bridge or advancing your character in a game, algebra has your back!