2(3p+2q)+5(3p+q)=

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Solution for 2(3p+2q)+5(3p+q)= equation:


Simplifying
2(3p + 2q) + 5(3p + q) = 0
(3p * 2 + 2q * 2) + 5(3p + q) = 0
(6p + 4q) + 5(3p + q) = 0
6p + 4q + (3p * 5 + q * 5) = 0
6p + 4q + (15p + 5q) = 0

Reorder the terms:
6p + 15p + 4q + 5q = 0

Combine like terms: 6p + 15p = 21p
21p + 4q + 5q = 0

Combine like terms: 4q + 5q = 9q
21p + 9q = 0

Solving
21p + 9q = 0

Solving for variable 'p'.

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

Add '-9q' to each side of the equation.
21p + 9q + -9q = 0 + -9q

Combine like terms: 9q + -9q = 0
21p + 0 = 0 + -9q
21p = 0 + -9q
Remove the zero:
21p = -9q

Divide each side by '21'.
p = -0.4285714286q

Simplifying
p = -0.4285714286q

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