(6p-6q+8r)-8(6p+9q-9r)=

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Solution for (6p-6q+8r)-8(6p+9q-9r)= equation:


Simplifying
(6p + -6q + 8r) + -8(6p + 9q + -9r) = 0

Remove parenthesis around (6p + -6q + 8r)
6p + -6q + 8r + -8(6p + 9q + -9r) = 0
6p + -6q + 8r + (6p * -8 + 9q * -8 + -9r * -8) = 0
6p + -6q + 8r + (-48p + -72q + 72r) = 0

Reorder the terms:
6p + -48p + -6q + -72q + 8r + 72r = 0

Combine like terms: 6p + -48p = -42p
-42p + -6q + -72q + 8r + 72r = 0

Combine like terms: -6q + -72q = -78q
-42p + -78q + 8r + 72r = 0

Combine like terms: 8r + 72r = 80r
-42p + -78q + 80r = 0

Solving
-42p + -78q + 80r = 0

Solving for variable 'p'.

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

Add '78q' to each side of the equation.
-42p + -78q + 78q + 80r = 0 + 78q

Combine like terms: -78q + 78q = 0
-42p + 0 + 80r = 0 + 78q
-42p + 80r = 0 + 78q
Remove the zero:
-42p + 80r = 78q

Add '-80r' to each side of the equation.
-42p + 80r + -80r = 78q + -80r

Combine like terms: 80r + -80r = 0
-42p + 0 = 78q + -80r
-42p = 78q + -80r

Divide each side by '-42'.
p = -1.857142857q + 1.904761905r

Simplifying
p = -1.857142857q + 1.904761905r

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