(5p+9)-(p+3)-p+6-(-1-3p)=

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Solution for (5p+9)-(p+3)-p+6-(-1-3p)= equation:


Simplifying
(5p + 9) + -1(p + 3) + -1p + 6 + -1(-1 + -3p) = 0

Reorder the terms:
(9 + 5p) + -1(p + 3) + -1p + 6 + -1(-1 + -3p) = 0

Remove parenthesis around (9 + 5p)
9 + 5p + -1(p + 3) + -1p + 6 + -1(-1 + -3p) = 0

Reorder the terms:
9 + 5p + -1(3 + p) + -1p + 6 + -1(-1 + -3p) = 0
9 + 5p + (3 * -1 + p * -1) + -1p + 6 + -1(-1 + -3p) = 0
9 + 5p + (-3 + -1p) + -1p + 6 + -1(-1 + -3p) = 0
9 + 5p + -3 + -1p + -1p + 6 + (-1 * -1 + -3p * -1) = 0
9 + 5p + -3 + -1p + -1p + 6 + (1 + 3p) = 0

Reorder the terms:
9 + -3 + 6 + 1 + 5p + -1p + -1p + 3p = 0

Combine like terms: 9 + -3 = 6
6 + 6 + 1 + 5p + -1p + -1p + 3p = 0

Combine like terms: 6 + 6 = 12
12 + 1 + 5p + -1p + -1p + 3p = 0

Combine like terms: 12 + 1 = 13
13 + 5p + -1p + -1p + 3p = 0

Combine like terms: 5p + -1p = 4p
13 + 4p + -1p + 3p = 0

Combine like terms: 4p + -1p = 3p
13 + 3p + 3p = 0

Combine like terms: 3p + 3p = 6p
13 + 6p = 0

Solving
13 + 6p = 0

Solving for variable 'p'.

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

Add '-13' to each side of the equation.
13 + -13 + 6p = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6p = 0 + -13
6p = 0 + -13

Combine like terms: 0 + -13 = -13
6p = -13

Divide each side by '6'.
p = -2.166666667

Simplifying
p = -2.166666667

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