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Answer:
-2
Step-by-step explanation:
Given:
To simplify it we need to clear out the brackets first and then combine like terms
[tex]-0.14p-0.04(5-5p)=0.03(p-5)-0.11[/tex]
-0.04 * 5 = -0.2
-0.04 * -5p = 0.2p (negative sign cancel out)
[tex]-0.14p-0.2+0.2p=0.03(p-5)-0.11[/tex]
0.03 * p = 0.03p
0.03 * -5 = -0.15
[tex]-0.14p-0.2+0.2p=0.03p-0.15-0.11[/tex]
Combining like terms
[tex]-0.14p-0.03p+0.2p=-0.15-0.11+0.2[/tex]
Simplifying further
[tex]0.03p=-0.06[/tex]
Dividing both sides by the coefficient of p which is 0.03
[tex]\frac{0.03p}{0.03}=\frac{-0.06}{0.03}[/tex]
[tex]\boxed{\mathcr{p} = -2}[/tex]
Therefore, the simplified value of p results to -2