6.(5x+7)= f) 9.(2x-6)= (4x+2)cdot 8= (3x-11)cdot 6= (n) 6. (-3x+2y-4)= (-5x+y-6)cdot 10= d)

Let's solve each expression step by step:<br /><br />1. $6.(5x+7)$<br /> - Distribute the 6 to both terms inside the parentheses:<br /> - $6 \cdot 5x + 6 \cdot 7$<br /> - $30x + 42$<br /><br />2. $9.(2x-6)$<br /> - Distribute the 9 to both terms inside the parentheses:<br /> - $9 \cdot 2x - 9 \cdot 6$<br /> - $18x - 54$<br /><br />3. $(4x+2)\cdot 8$<br /> - Distribute the 8 to both terms inside the parentheses:<br /> - $8 \cdot 4x + 8 \cdot 2$<br /> - $32x + 16$<br /><br />4. $(3x-11)\cdot 6$<br /> - Distribute the 6 to both terms inside the parentheses:<br /> - $6 \cdot 3x - 6 \cdot 11$<br /> - $18x - 66$<br /><br />5. $6.(-3x+2y-4)$<br /> - Distribute the 6 to each term inside the parentheses:<br /> - $6 \cdot (-3x) + 6 \cdot 2y - 6 \cdot 4$<br /> - $-18x + 12y - 24$<br /><br />6. $(-5x+y-6)\cdot 10$<br /> - Distribute the 10 to each term inside the parentheses:<br /> - $10 \cdot (-5x) + 10 \cdot y - 10 \cdot 6$<br /> - $-50x + 10y - 60$<br /><br />So, the correct answers are:<br />1. $30x + 42$<br />2. $18x - 54$<br />3. $32x + 16$<br />4. $18x - 66$<br />5. $-18x + 12y - 24$<br />6. $-50x + 10y - 60$