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 = 62p
62p + -48r = 40 + -20p + 20p

Combine like terms: -20p + 20p = 0
62p + -48r = 40 + 0
62p + -48r = 40

Add '48r' to each side of the equation.
62p + -48r + 48r = 40 + 48r

Combine like terms: -48r + 48r = 0
62p + 0 = 40 + 48r
62p = 40 + 48r

Divide each side by '62'.
p = 0.6451612903 + 0.7741935484r

Simplifying
p = 0.6451612903 + 0.7741935484r

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