3q+4p+5r+3*3p+4*4q+5*5r=

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Solution for 3q+4p+5r+3*3p+4*4q+5*5r= equation:


Simplifying
3q + 4p + 5r + 3 * 3p + 4 * 4q + 5 * 5r = 0

Multiply 3 * 3
3q + 4p + 5r + 9p + 4 * 4q + 5 * 5r = 0

Multiply 4 * 4
3q + 4p + 5r + 9p + 16q + 5 * 5r = 0

Multiply 5 * 5
3q + 4p + 5r + 9p + 16q + 25r = 0

Reorder the terms:
4p + 9p + 3q + 16q + 5r + 25r = 0

Combine like terms: 4p + 9p = 13p
13p + 3q + 16q + 5r + 25r = 0

Combine like terms: 3q + 16q = 19q
13p + 19q + 5r + 25r = 0

Combine like terms: 5r + 25r = 30r
13p + 19q + 30r = 0

Solving
13p + 19q + 30r = 0

Solving for variable 'p'.

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

Add '-19q' to each side of the equation.
13p + 19q + -19q + 30r = 0 + -19q

Combine like terms: 19q + -19q = 0
13p + 0 + 30r = 0 + -19q
13p + 30r = 0 + -19q
Remove the zero:
13p + 30r = -19q

Add '-30r' to each side of the equation.
13p + 30r + -30r = -19q + -30r

Combine like terms: 30r + -30r = 0
13p + 0 = -19q + -30r
13p = -19q + -30r

Divide each side by '13'.
p = -1.461538462q + -2.307692308r

Simplifying
p = -1.461538462q + -2.307692308r

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