3(p-2q)-4(2p-3q-5)=(3p-6q)-(8p-12q-20)

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Solution for 3(p-2q)-4(2p-3q-5)=(3p-6q)-(8p-12q-20) equation: 


Simplifying
3(p + -2q) + -4(2p + -3q + -5) = (3p + -6q) + -1(8p + -12q + -20)
(p * 3 + -2q * 3) + -4(2p + -3q + -5) = (3p + -6q) + -1(8p + -12q + -20)
(3p + -6q) + -4(2p + -3q + -5) = (3p + -6q) + -1(8p + -12q + -20)

Reorder the terms:
3p + -6q + -4(-5 + 2p + -3q) = (3p + -6q) + -1(8p + -12q + -20)
3p + -6q + (-5 * -4 + 2p * -4 + -3q * -4) = (3p + -6q) + -1(8p + -12q + -20)
3p + -6q + (20 + -8p + 12q) = (3p + -6q) + -1(8p + -12q + -20)

Reorder the terms:
20 + 3p + -8p + -6q + 12q = (3p + -6q) + -1(8p + -12q + -20)

Combine like terms: 3p + -8p = -5p
20 + -5p + -6q + 12q = (3p + -6q) + -1(8p + -12q + -20)

Combine like terms: -6q + 12q = 6q
20 + -5p + 6q = (3p + -6q) + -1(8p + -12q + -20)

Remove parenthesis around (3p + -6q)
20 + -5p + 6q = 3p + -6q + -1(8p + -12q + -20)

Reorder the terms:
20 + -5p + 6q = 3p + -6q + -1(-20 + 8p + -12q)
20 + -5p + 6q = 3p + -6q + (-20 * -1 + 8p * -1 + -12q * -1)
20 + -5p + 6q = 3p + -6q + (20 + -8p + 12q)

Reorder the terms:
20 + -5p + 6q = 20 + 3p + -8p + -6q + 12q

Combine like terms: 3p + -8p = -5p
20 + -5p + 6q = 20 + -5p + -6q + 12q

Combine like terms: -6q + 12q = 6q
20 + -5p + 6q = 20 + -5p + 6q

Add '-20' to each side of the equation.
20 + -5p + -20 + 6q = 20 + -5p + -20 + 6q

Reorder the terms:
20 + -20 + -5p + 6q = 20 + -5p + -20 + 6q

Combine like terms: 20 + -20 = 0
0 + -5p + 6q = 20 + -5p + -20 + 6q
-5p + 6q = 20 + -5p + -20 + 6q

Reorder the terms:
-5p + 6q = 20 + -20 + -5p + 6q

Combine like terms: 20 + -20 = 0
-5p + 6q = 0 + -5p + 6q
-5p + 6q = -5p + 6q

Add '5p' to each side of the equation.
-5p + 5p + 6q = -5p + 5p + 6q

Combine like terms: -5p + 5p = 0
0 + 6q = -5p + 5p + 6q
6q = -5p + 5p + 6q

Combine like terms: -5p + 5p = 0
6q = 0 + 6q
6q = 6q

Add '-6q' to each side of the equation.
6q + -6q = 6q + -6q

Combine like terms: 6q + -6q = 0
0 = 6q + -6q

Combine like terms: 6q + -6q = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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