(-2p+4q-7)-(-4p-2q+5)=

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Solution for (-2p+4q-7)-(-4p-2q+5)= equation:


Simplifying
(-2p + 4q + -7) + -1(-4p + -2q + 5) = 0

Reorder the terms:
(-7 + -2p + 4q) + -1(-4p + -2q + 5) = 0

Remove parenthesis around (-7 + -2p + 4q)
-7 + -2p + 4q + -1(-4p + -2q + 5) = 0

Reorder the terms:
-7 + -2p + 4q + -1(5 + -4p + -2q) = 0
-7 + -2p + 4q + (5 * -1 + -4p * -1 + -2q * -1) = 0
-7 + -2p + 4q + (-5 + 4p + 2q) = 0

Reorder the terms:
-7 + -5 + -2p + 4p + 4q + 2q = 0

Combine like terms: -7 + -5 = -12
-12 + -2p + 4p + 4q + 2q = 0

Combine like terms: -2p + 4p = 2p
-12 + 2p + 4q + 2q = 0

Combine like terms: 4q + 2q = 6q
-12 + 2p + 6q = 0

Solving
-12 + 2p + 6q = 0

Solving for variable 'p'.

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

Add '12' to each side of the equation.
-12 + 2p + 12 + 6q = 0 + 12

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

Combine like terms: -12 + 12 = 0
0 + 2p + 6q = 0 + 12
2p + 6q = 0 + 12

Combine like terms: 0 + 12 = 12
2p + 6q = 12

Add '-6q' to each side of the equation.
2p + 6q + -6q = 12 + -6q

Combine like terms: 6q + -6q = 0
2p + 0 = 12 + -6q
2p = 12 + -6q

Divide each side by '2'.
p = 6 + -3q

Simplifying
p = 6 + -3q

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