5p+3p=7(p+1)+7(p-1)

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Solution for 5p+3p=7(p+1)+7(p-1) equation:


Simplifying
5p + 3p = 7(p + 1) + 7(p + -1)

Combine like terms: 5p + 3p = 8p
8p = 7(p + 1) + 7(p + -1)

Reorder the terms:
8p = 7(1 + p) + 7(p + -1)
8p = (1 * 7 + p * 7) + 7(p + -1)
8p = (7 + 7p) + 7(p + -1)

Reorder the terms:
8p = 7 + 7p + 7(-1 + p)
8p = 7 + 7p + (-1 * 7 + p * 7)
8p = 7 + 7p + (-7 + 7p)

Reorder the terms:
8p = 7 + -7 + 7p + 7p

Combine like terms: 7 + -7 = 0
8p = 0 + 7p + 7p
8p = 7p + 7p

Combine like terms: 7p + 7p = 14p
8p = 14p

Solving
8p = 14p

Solving for variable 'p'.

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

Add '-14p' to each side of the equation.
8p + -14p = 14p + -14p

Combine like terms: 8p + -14p = -6p
-6p = 14p + -14p

Combine like terms: 14p + -14p = 0
-6p = 0

Divide each side by '-6'.
p = 0

Simplifying
p = 0

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