Answer:
[tex]1.\ 8p = 64, p =8[/tex]
[tex]2. -\dfrac{w}{4} = 8, w = -32[/tex]
[tex]3. -5c = -20, c =4[/tex]
[tex]4.\ 9m=45, m = 5[/tex]
[tex]5. \dfrac{b}{25} = -3, b =-75[/tex]
[tex]6. \dfrac{d}{-2} = 20, d=-40[/tex]
Step-by-step explanation:
Now let us see the detailed solution of each part:
Part 1:
[tex]8p -15 = 49\\\Rightarrow 8p =49+15\\\Rightarrow 8p = 64\\\Rightarrow p =8[/tex]
Part 2:
[tex]\dfrac{-w}{4}+18=26\\\Rightarrow \dfrac{-w}{4} = 26-18\\\Rightarrow \dfrac{-w}{4} = 8\\\Rightarrow -w = 8 \times 4\\\Rightarrow w =-32[/tex]
Part 3:
[tex]-5c-15=-35\\\Rightarrow -5c = -35 +15\\\Rightarrow -5c = -20\\\Rightarrow c = 4[/tex]
Part 4:
[tex]9m +10=55\\\Rightarrow 9m =55-10\\\Rightarrow 9m =45\\\Rightarrow m =5[/tex]
Part 5:
[tex]\dfrac{b}{25}-83=-86\\\Rightarrow \dfrac{b}{25} = -86 +83\\\Rightarrow \dfrac{b}{25} = -3\\\Rightarrow b = -75[/tex]
Part 6:
[tex]\dfrac{d}{-2}+85=105\\\Rightarrow \dfrac{d}{-2} = 105-85\\\Rightarrow \dfrac{d}{-2} = 20\\\Rightarrow d=20 \times -2\\\Rightarrow d =-40[/tex]
Please refer to attached image for the answers.
