5p+9q-4(2p-5q)=

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Solution for 5p+9q-4(2p-5q)= equation:


Simplifying
5p + 9q + -4(2p + -5q) = 0
5p + 9q + (2p * -4 + -5q * -4) = 0
5p + 9q + (-8p + 20q) = 0

Reorder the terms:
5p + -8p + 9q + 20q = 0

Combine like terms: 5p + -8p = -3p
-3p + 9q + 20q = 0

Combine like terms: 9q + 20q = 29q
-3p + 29q = 0

Solving
-3p + 29q = 0

Solving for variable 'p'.

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

Add '-29q' to each side of the equation.
-3p + 29q + -29q = 0 + -29q

Combine like terms: 29q + -29q = 0
-3p + 0 = 0 + -29q
-3p = 0 + -29q
Remove the zero:
-3p = -29q

Divide each side by '-3'.
p = 9.666666667q

Simplifying
p = 9.666666667q

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