1. **State the problem:** We are given multiple expressions: $A=6x+3$ $B=25+40x$ $C=35x-40$ $D=42-28x$ $E=32+24x-12a$ $F=15a-45$ $G=-39x-13y$ $H=25x-50a$ We need to simplify or solve these expressions if possible. 2. **Analyze each expression:** - Expressions $A$, $B$, $C$, $D$, $E$, $F$, $G$, and $H$ are linear expressions in variables $x$, $a$, and $y$. - Without equations or values, we cannot solve for variables but can simplify or factor. 3. **Simplify and factor each expression:** - $A=6x+3=3(2x+1)$ - $B=25+40x=5(5+8x)$ - $C=35x-40=5(7x-8)$ - $D=42-28x=14(3-2x)$ - $E=32+24x-12a=4(8+6x-3a)$ - $F=15a-45=15(a-3)$ - $G=-39x-13y=-13(3x+y)$ - $H=25x-50a=25(x-2a)$ 4. **Summary:** Each expression is factored to show common factors. This is the simplest form without additional equations or values. **Final factored expressions:** $$A=3(2x+1)$$ $$B=5(5+8x)$$ $$C=5(7x-8)$$ $$D=14(3-2x)$$ $$E=4(8+6x-3a)$$ $$F=15(a-3)$$ $$G=-13(3x+y)$$ $$H=25(x-2a)$$