7(0.2p+0.3q)+5(0.6p-q)=0

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Solution for 7(0.2p+0.3q)+5(0.6p-q)=0 equation:


Simplifying
7(0.2p + 0.3q) + 5(0.6p + -1q) = 0
(0.2p * 7 + 0.3q * 7) + 5(0.6p + -1q) = 0
(1.4p + 2.1q) + 5(0.6p + -1q) = 0
1.4p + 2.1q + (0.6p * 5 + -1q * 5) = 0
1.4p + 2.1q + (3p + -5q) = 0

Reorder the terms:
1.4p + 3p + 2.1q + -5q = 0

Combine like terms: 1.4p + 3p = 4.4p
4.4p + 2.1q + -5q = 0

Combine like terms: 2.1q + -5q = -2.9q
4.4p + -2.9q = 0

Solving
4.4p + -2.9q = 0

Solving for variable 'p'.

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

Add '2.9q' to each side of the equation.
4.4p + -2.9q + 2.9q = 0 + 2.9q

Combine like terms: -2.9q + 2.9q = 0.0
4.4p + 0.0 = 0 + 2.9q
4.4p = 0 + 2.9q
Remove the zero:
4.4p = 2.9q

Divide each side by '4.4'.
p = 0.6590909091q

Simplifying
p = 0.6590909091q

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