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Simplify: -0.14p-0.04(5-5p)=0.03(p-5)-0.11

Sagot :

chibabykalu16

Answer:

-2

Step-by-step explanation:

Given:

  • [tex]-0.14p-0.04(5-5p)=0.03(p-5)-0.11[/tex]

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

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