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

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


Simplifying
2(5p + -1q) + 3(p + -2q) = 0
(5p * 2 + -1q * 2) + 3(p + -2q) = 0
(10p + -2q) + 3(p + -2q) = 0
10p + -2q + (p * 3 + -2q * 3) = 0
10p + -2q + (3p + -6q) = 0

Reorder the terms:
10p + 3p + -2q + -6q = 0

Combine like terms: 10p + 3p = 13p
13p + -2q + -6q = 0

Combine like terms: -2q + -6q = -8q
13p + -8q = 0

Solving
13p + -8q = 0

Solving for variable 'p'.

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

Add '8q' to each side of the equation.
13p + -8q + 8q = 0 + 8q

Combine like terms: -8q + 8q = 0
13p + 0 = 0 + 8q
13p = 0 + 8q
Remove the zero:
13p = 8q

Divide each side by '13'.
p = 0.6153846154q

Simplifying
p = 0.6153846154q

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