6(7p-8r)=-5(8-4p)

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Solution for 6(7p-8r)=-5(8-4p) equation: 


Simplifying
6(7p + -8r) = -5(8 + -4p)
(7p * 6 + -8r * 6) = -5(8 + -4p)
(42p + -48r) = -5(8 + -4p)
42p + -48r = (8 * -5 + -4p * -5)
42p + -48r = (-40 + 20p)

Solving
42p + -48r = -40 + 20p

Solving for variable 'p'.

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

Add '-20p' to each side of the equation.
42p + -20p + -48r = -40 + 20p + -20p

Combine like terms: 42p + -20p = 22p
22p + -48r = -40 + 20p + -20p

Combine like terms: 20p + -20p = 0
22p + -48r = -40 + 0
22p + -48r = -40

Add '48r' to each side of the equation.
22p + -48r + 48r = -40 + 48r

Combine like terms: -48r + 48r = 0
22p + 0 = -40 + 48r
22p = -40 + 48r

Divide each side by '22'.
p = -1.818181818 + 2.181818182r

Simplifying
p = -1.818181818 + 2.181818182r

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