What is the answer to 3/10 p= 1/2+2/5 p+1 1/10 ?

The answer to 3/10 p= 1/2+2/5 p+1 1/10 is p=-16

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3/10 p= 1/2+2/5 p+1 1/10

\frac{3}{10} p = \frac{1}{2} + \frac{2}{5} p + 1 \frac{1}{10}

p = - 16

Solution steps

\frac{3}{10} p = \frac{1}{2} + \frac{2}{5} p + 1 \frac{1}{10}

Convert mixed numbers to improper fractions:

1 \frac{1}{10} = \frac{11}{10}

\frac{3}{10} p = \frac{1}{2} + \frac{2}{5} p + \frac{11}{10}

Group like terms

\frac{3}{10} p = \frac{2}{5} p + \frac{1}{2} + \frac{11}{10}

Combine the fractions

\frac{1}{2} + \frac{11}{10} : \frac{8}{5}

\frac{3}{10} p = \frac{8}{5} + \frac{2}{5} p

Move

\frac{2}{5} p

to the left side

- \frac{1}{10} p = \frac{8}{5}

Multiply both sides by

- 10

p = - 16

m, - 2 m - 5 n = 7 m - 3 n

- 2 y - 3 - {- 4 y + 5 + [- y + 2 - (3 y - 1) + 2 y - 5]} = - (y - 4)

- (3 x + 8 - (- 15 + 6 x - (- 3 x + 2) - (5 x + 4)) - 29) = - 5

x, (y - 1) \frac{2}{4} - (x - 3) \frac{2}{9} = 1

x, 2 x - 3 y = - 4

What is the answer to 3/10 p= 1/2+2/5 p+1 1/10 ?
The answer to 3/10 p= 1/2+2/5 p+1 1/10 is p=-16
Solve for p: 3/10 p= 1/2+2/5 p+1 1/10
The solution is p=-16