(5+p)-(p-q)-(3p+4q-6)=

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Solution for (5+p)-(p-q)-(3p+4q-6)= equation:


Simplifying
(5 + p) + -1(p + -1q) + -1(3p + 4q + -6) = 0

Remove parenthesis around (5 + p)
5 + p + -1(p + -1q) + -1(3p + 4q + -6) = 0
5 + p + (p * -1 + -1q * -1) + -1(3p + 4q + -6) = 0
5 + p + (-1p + 1q) + -1(3p + 4q + -6) = 0

Reorder the terms:
5 + p + -1p + 1q + -1(-6 + 3p + 4q) = 0
5 + p + -1p + 1q + (-6 * -1 + 3p * -1 + 4q * -1) = 0
5 + p + -1p + 1q + (6 + -3p + -4q) = 0

Reorder the terms:
5 + 6 + p + -1p + -3p + 1q + -4q = 0

Combine like terms: 5 + 6 = 11
11 + p + -1p + -3p + 1q + -4q = 0

Combine like terms: p + -1p = 0
11 + 0 + -3p + 1q + -4q = 0
11 + -3p + 1q + -4q = 0

Combine like terms: 1q + -4q = -3q
11 + -3p + -3q = 0

Solving
11 + -3p + -3q = 0

Solving for variable 'p'.

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

Add '-11' to each side of the equation.
11 + -3p + -11 + -3q = 0 + -11

Reorder the terms:
11 + -11 + -3p + -3q = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3p + -3q = 0 + -11
-3p + -3q = 0 + -11

Combine like terms: 0 + -11 = -11
-3p + -3q = -11

Add '3q' to each side of the equation.
-3p + -3q + 3q = -11 + 3q

Combine like terms: -3q + 3q = 0
-3p + 0 = -11 + 3q
-3p = -11 + 3q

Divide each side by '-3'.
p = 3.666666667 + -1q

Simplifying
p = 3.666666667 + -1q

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