6p+2q-4(6p-7q+3r)=

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Solution for 6p+2q-4(6p-7q+3r)= equation:


Simplifying
6p + 2q + -4(6p + -7q + 3r) = 0
6p + 2q + (6p * -4 + -7q * -4 + 3r * -4) = 0
6p + 2q + (-24p + 28q + -12r) = 0

Reorder the terms:
6p + -24p + 2q + 28q + -12r = 0

Combine like terms: 6p + -24p = -18p
-18p + 2q + 28q + -12r = 0

Combine like terms: 2q + 28q = 30q
-18p + 30q + -12r = 0

Solving
-18p + 30q + -12r = 0

Solving for variable 'p'.

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

Add '-30q' to each side of the equation.
-18p + 30q + -30q + -12r = 0 + -30q

Combine like terms: 30q + -30q = 0
-18p + 0 + -12r = 0 + -30q
-18p + -12r = 0 + -30q
Remove the zero:
-18p + -12r = -30q

Add '12r' to each side of the equation.
-18p + -12r + 12r = -30q + 12r

Combine like terms: -12r + 12r = 0
-18p + 0 = -30q + 12r
-18p = -30q + 12r

Divide each side by '-18'.
p = 1.666666667q + -0.6666666667r

Simplifying
p = 1.666666667q + -0.6666666667r

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