13+4p=-5(-p+3)+7(3p+2)

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Solution for 13+4p=-5(-p+3)+7(3p+2) equation:


Simplifying
13 + 4p = -5(-1p + 3) + 7(3p + 2)

Reorder the terms:
13 + 4p = -5(3 + -1p) + 7(3p + 2)
13 + 4p = (3 * -5 + -1p * -5) + 7(3p + 2)
13 + 4p = (-15 + 5p) + 7(3p + 2)

Reorder the terms:
13 + 4p = -15 + 5p + 7(2 + 3p)
13 + 4p = -15 + 5p + (2 * 7 + 3p * 7)
13 + 4p = -15 + 5p + (14 + 21p)

Reorder the terms:
13 + 4p = -15 + 14 + 5p + 21p

Combine like terms: -15 + 14 = -1
13 + 4p = -1 + 5p + 21p

Combine like terms: 5p + 21p = 26p
13 + 4p = -1 + 26p

Solving
13 + 4p = -1 + 26p

Solving for variable 'p'.

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

Add '-26p' to each side of the equation.
13 + 4p + -26p = -1 + 26p + -26p

Combine like terms: 4p + -26p = -22p
13 + -22p = -1 + 26p + -26p

Combine like terms: 26p + -26p = 0
13 + -22p = -1 + 0
13 + -22p = -1

Add '-13' to each side of the equation.
13 + -13 + -22p = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -22p = -1 + -13
-22p = -1 + -13

Combine like terms: -1 + -13 = -14
-22p = -14

Divide each side by '-22'.
p = 0.6363636364

Simplifying
p = 0.6363636364

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