5(p+3)-(p-8)=

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Solution for 5(p+3)-(p-8)= equation:


Simplifying
5(p + 3) + -1(p + -8) = 0

Reorder the terms:
5(3 + p) + -1(p + -8) = 0
(3 * 5 + p * 5) + -1(p + -8) = 0
(15 + 5p) + -1(p + -8) = 0

Reorder the terms:
15 + 5p + -1(-8 + p) = 0
15 + 5p + (-8 * -1 + p * -1) = 0
15 + 5p + (8 + -1p) = 0

Reorder the terms:
15 + 8 + 5p + -1p = 0

Combine like terms: 15 + 8 = 23
23 + 5p + -1p = 0

Combine like terms: 5p + -1p = 4p
23 + 4p = 0

Solving
23 + 4p = 0

Solving for variable 'p'.

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

Add '-23' to each side of the equation.
23 + -23 + 4p = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 4p = 0 + -23
4p = 0 + -23

Combine like terms: 0 + -23 = -23
4p = -23

Divide each side by '4'.
p = -5.75

Simplifying
p = -5.75

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