b) \( 10+4 m \) when \( m=-2 \)

To solve the expression \( 10 + 4m \) when \( m = -2 \), simply substitute \(-2\) in place of \( m \): 1. Calculate \( 4 \times -2 = -8 \). 2. Then add this to 10: \( 10 - 8 = 2 \). So, when \( m = -2 \), the value of the expression is \( 2 \). Now, here's a fun fact: the use of letters to represent numbers in algebra dates back to ancient civilizations, with the Egyptians and Babylonians using simple symbols. However, it was not until the work of mathematicians like Diophantus and later the European algebraists that variables became standard in equations! If you’re solving similar equations, a common mistake is forgetting to distribute negative signs correctly. Always double-check your signs when substituting values! This little detail can change your entire answer, leading you astray.