3p+6q-3(3p-3q+6r)=

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


Simplifying
3p + 6q + -3(3p + -3q + 6r) = 0
3p + 6q + (3p * -3 + -3q * -3 + 6r * -3) = 0
3p + 6q + (-9p + 9q + -18r) = 0

Reorder the terms:
3p + -9p + 6q + 9q + -18r = 0

Combine like terms: 3p + -9p = -6p
-6p + 6q + 9q + -18r = 0

Combine like terms: 6q + 9q = 15q
-6p + 15q + -18r = 0

Solving
-6p + 15q + -18r = 0

Solving for variable 'p'.

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

Add '-15q' to each side of the equation.
-6p + 15q + -15q + -18r = 0 + -15q

Combine like terms: 15q + -15q = 0
-6p + 0 + -18r = 0 + -15q
-6p + -18r = 0 + -15q
Remove the zero:
-6p + -18r = -15q

Add '18r' to each side of the equation.
-6p + -18r + 18r = -15q + 18r

Combine like terms: -18r + 18r = 0
-6p + 0 = -15q + 18r
-6p = -15q + 18r

Divide each side by '-6'.
p = 2.5q + -3r

Simplifying
p = 2.5q + -3r

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