2(6p+3q)+3(q-4p)+5(p+q)=

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Solution for 2(6p+3q)+3(q-4p)+5(p+q)= equation:


Simplifying
2(6p + 3q) + 3(q + -4p) + 5(p + q) = 0
(6p * 2 + 3q * 2) + 3(q + -4p) + 5(p + q) = 0
(12p + 6q) + 3(q + -4p) + 5(p + q) = 0

Reorder the terms:
12p + 6q + 3(-4p + q) + 5(p + q) = 0
12p + 6q + (-4p * 3 + q * 3) + 5(p + q) = 0
12p + 6q + (-12p + 3q) + 5(p + q) = 0
12p + 6q + -12p + 3q + (p * 5 + q * 5) = 0
12p + 6q + -12p + 3q + (5p + 5q) = 0

Reorder the terms:
12p + -12p + 5p + 6q + 3q + 5q = 0

Combine like terms: 12p + -12p = 0
0 + 5p + 6q + 3q + 5q = 0
5p + 6q + 3q + 5q = 0

Combine like terms: 6q + 3q = 9q
5p + 9q + 5q = 0

Combine like terms: 9q + 5q = 14q
5p + 14q = 0

Solving
5p + 14q = 0

Solving for variable 'p'.

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

Add '-14q' to each side of the equation.
5p + 14q + -14q = 0 + -14q

Combine like terms: 14q + -14q = 0
5p + 0 = 0 + -14q
5p = 0 + -14q
Remove the zero:
5p = -14q

Divide each side by '5'.
p = -2.8q

Simplifying
p = -2.8q

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