4p+5q-9(4p-9q+7r)=

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Solution for 4p+5q-9(4p-9q+7r)= equation:


Simplifying
4p + 5q + -9(4p + -9q + 7r) = 0
4p + 5q + (4p * -9 + -9q * -9 + 7r * -9) = 0
4p + 5q + (-36p + 81q + -63r) = 0

Reorder the terms:
4p + -36p + 5q + 81q + -63r = 0

Combine like terms: 4p + -36p = -32p
-32p + 5q + 81q + -63r = 0

Combine like terms: 5q + 81q = 86q
-32p + 86q + -63r = 0

Solving
-32p + 86q + -63r = 0

Solving for variable 'p'.

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

Add '-86q' to each side of the equation.
-32p + 86q + -86q + -63r = 0 + -86q

Combine like terms: 86q + -86q = 0
-32p + 0 + -63r = 0 + -86q
-32p + -63r = 0 + -86q
Remove the zero:
-32p + -63r = -86q

Add '63r' to each side of the equation.
-32p + -63r + 63r = -86q + 63r

Combine like terms: -63r + 63r = 0
-32p + 0 = -86q + 63r
-32p = -86q + 63r

Divide each side by '-32'.
p = 2.6875q + -1.96875r

Simplifying
p = 2.6875q + -1.96875r

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