.3333333333(6p+21)=15(p-4)

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Solution for .3333333333(6p+21)=15(p-4) equation:


Simplifying
0.3333333333(6p + 21) = 15(p + -4)

Reorder the terms:
0.3333333333(21 + 6p) = 15(p + -4)
(21 * 0.3333333333 + 6p * 0.3333333333) = 15(p + -4)
(6.999999999 + 2p) = 15(p + -4)

Reorder the terms:
6.999999999 + 2p = 15(-4 + p)
6.999999999 + 2p = (-4 * 15 + p * 15)
6.999999999 + 2p = (-60 + 15p)

Solving
6.999999999 + 2p = -60 + 15p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-15p' to each side of the equation.
6.999999999 + 2p + -15p = -60 + 15p + -15p

Combine like terms: 2p + -15p = -13p
6.999999999 + -13p = -60 + 15p + -15p

Combine like terms: 15p + -15p = 0
6.999999999 + -13p = -60 + 0
6.999999999 + -13p = -60

Add '-6.999999999' to each side of the equation.
6.999999999 + -6.999999999 + -13p = -60 + -6.999999999

Combine like terms: 6.999999999 + -6.999999999 = 0.000000000
0.000000000 + -13p = -60 + -6.999999999
-13p = -60 + -6.999999999

Combine like terms: -60 + -6.999999999 = -66.999999999
-13p = -66.999999999

Divide each side by '-13'.
p = 5.153846154

Simplifying
p = 5.153846154

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